1 A flower shop recorded sales of roses and carnations each day for 6 months and found that the average daily revenue from these bestsellers remained constant despite varying sales totals of each flower. The following equation represents the relationship between the sales of roses and carnations per day: 34x+y=1,395...where x is the total sales of roses in dollars and y is the total sales of carnations in dollars. What does it mean that (40,35) is a solution to the equation above?
A. The total sales of roses will always be $5 more than the total sales of carnations.
B. The total sales of roses will always be greater than the total sales of carnations.
C. When the flower shop sells $40 worth of carnations, then sales of roses will be $35.
D. When the flower shop sells $40 worth of roses, then carnation sales will be $35.

2. The manager of the local cafe has been tracking the total sales of coffee and tea each day. After months of collecting data, the manager concluded that there is a linear relationship between coffee sales and tea sales, represented by the following equation:C=2T+34...where C is coffee sales in dollars, and T is tea sales in dollars. What is the change in tea sales if coffee sales decrease by $52 in a given day?
A. Tea sales will decrease by $26.
B. Tea sales will increase by $26.
C. Tea sales will increase by $25.
D. Tea sales will decrease by $25

3. A calculator is allowed on this question.A homeowner planted a 3-foot tall pine tree sapling in his backyard 10 years ago. The tree has grown quickly at about 1/2 foot each year. The following equation models the tree growth:H=12t+3...where H is the tree height in feet and t is the time in years.Based on the equation above, how many total feet had the tree grown at year 4?
A. 1/2 foot
B. 5 feet
C. 2 feet
D. 1 foot

4. If 2/5x=y+7, which expression has a value of 35?
A. 5y+2x
B. 2x−5y
C. 2/5x+5y
D. −5y−2x

5. Amelia is planning a banquet to celebrate her sister's graduation. The total cost for the party includes the cost for the banquet hall and catering fees that are calculated as a fixed rate per person. The following equation models the scenario:C=500+17p...where C is the total cost of the banquet in dollars and p is the number of people who attend.If 125 people attend the banquet, what is the total cost of the catering fees?
A. $2,625
B. $2,125
C. $8,500
D. $1,625

6. An experienced veterinarian uses the following equation to predict the weight of a medium-sized mixed breed puppy in the first year of life:w=3.3a−1.5...where w is the weight in pounds, and a is the age in months. Based on the equation, what is the estimated increase in pounds of a puppy's weight each month?
A. 1.5 pounds
B. 3.3 pounds
C. 4.8 pounds
D. 4.95 pounds

7. Cassie was hired by her professor to take notes in his classes so that her notes could be uploaded as a reference for his students. She is paid a flat-fee for the first 2 hours and then a fixed-rate for each additional hour. Her earnings can be estimated by the following equation:E=15(t−2)+20...where E is Cassie's earnings in dollars and t is the number of hours she works.Based on the equation, what does the term 15 represent?
A. Cassie's fixed-rate for each additional hour
B. Cassie's flat-fee for the first 2 hours
C. Cassie's flat-fee after the first 2 hours
D. Cassie's total income.

8. A retired optometrist, Dr. Bibler, conducts free eye clinics each year in is hometown. He provides a free eye exam and distributes eyeglasses that he collects throughout the year. In preparation for each clinic, Dr. Bibler has a goal of collecting a certain number of eyeglasses each month. The number of eyeglasses he has left to collect each month in order to meet his goal can be estimated with the equation:Y=50−8x...where Y is the number of eyeglasses he has left to collect for the month and x is the number of days he has actively been collecting eyeglasses that month.What is the meaning of 50 in this equation?
A. Dr. Bibler has a goal of collecting 50 eyeglasses each month
B. Dr. Bibler collects 50 eyeglasses each day
C. Dr. Bibler distributes 50 eyeglasses each day to the needy
D. Dr. Bibler starts out each month with 50 eyeglasses

9, Which equation is equivalent to 15x+10y=2?
A. y=−8−15x
B. 3x+2y=2
C. y=1/5−3/2x
D. y=−3/2x+1

10. A homeowner is planning to build a walkway to surround a circular garden. The walkway will be 3 feet wide and will provide easy access to the garden. The equation below relates the area A of the walkway to the circumference c of the garden:A=5c+35...where A is in square feet and c is in feet.Based on the equation, how many feet will the circumference of the garden increase when the area of the walkway is increased by 2 additional square feet?
A. 2/5
B. 1/5
C. 7
D. −2/5

Question

yeetmynutnmeat yeetmynutnmeat

28-10-2022
Mathematics

Answered

1 A flower shop recorded sales of roses and carnations each day for 6 months and found that the average daily revenue from these bestsellers remained constant despite varying sales totals of each flower. The following equation represents the relationship between the sales of roses and carnations per day: 34x+y=1,395...where x is the total sales of roses in dollars and y is the total sales of carnations in dollars. What does it mean that (40,35) is a solution to the equation above?
A. The total sales of roses will always be $5 more than the total sales of carnations.
B. The total sales of roses will always be greater than the total sales of carnations.
C. When the flower shop sells $40 worth of carnations, then sales of roses will be $35.
D. When the flower shop sells $40 worth of roses, then carnation sales will be $35.

2. The manager of the local cafe has been tracking the total sales of coffee and tea each day. After months of collecting data, the manager concluded that there is a linear relationship between coffee sales and tea sales, represented by the following equation:C=2T+34...where C is coffee sales in dollars, and T is tea sales in dollars. What is the change in tea sales if coffee sales decrease by $52 in a given day?
A. Tea sales will decrease by $26.
B. Tea sales will increase by $26.
C. Tea sales will increase by $25.
D. Tea sales will decrease by $25

3. A calculator is allowed on this question.A homeowner planted a 3-foot tall pine tree sapling in his backyard 10 years ago. The tree has grown quickly at about 1/2 foot each year. The following equation models the tree growth:H=12t+3...where H is the tree height in feet and t is the time in years.Based on the equation above, how many total feet had the tree grown at year 4?
A. 1/2 foot
B. 5 feet
C. 2 feet
D. 1 foot

4. If 2/5x=y+7, which expression has a value of 35?
A. 5y+2x
B. 2x−5y
C. 2/5x+5y
D. −5y−2x

5. Amelia is planning a banquet to celebrate her sister's graduation. The total cost for the party includes the cost for the banquet hall and catering fees that are calculated as a fixed rate per person. The following equation models the scenario:C=500+17p...where C is the total cost of the banquet in dollars and p is the number of people who attend.If 125 people attend the banquet, what is the total cost of the catering fees?
A. $2,625
B. $2,125
C. $8,500
D. $1,625

6. An experienced veterinarian uses the following equation to predict the weight of a medium-sized mixed breed puppy in the first year of life:w=3.3a−1.5...where w is the weight in pounds, and a is the age in months. Based on the equation, what is the estimated increase in pounds of a puppy's weight each month?
A. 1.5 pounds
B. 3.3 pounds
C. 4.8 pounds
D. 4.95 pounds

7. Cassie was hired by her professor to take notes in his classes so that her notes could be uploaded as a reference for his students. She is paid a flat-fee for the first 2 hours and then a fixed-rate for each additional hour. Her earnings can be estimated by the following equation:E=15(t−2)+20...where E is Cassie's earnings in dollars and t is the number of hours she works.Based on the equation, what does the term 15 represent?
A. Cassie's fixed-rate for each additional hour
B. Cassie's flat-fee for the first 2 hours
C. Cassie's flat-fee after the first 2 hours
D. Cassie's total income.

8. A retired optometrist, Dr. Bibler, conducts free eye clinics each year in is hometown. He provides a free eye exam and distributes eyeglasses that he collects throughout the year. In preparation for each clinic, Dr. Bibler has a goal of collecting a certain number of eyeglasses each month. The number of eyeglasses he has left to collect each month in order to meet his goal can be estimated with the equation:Y=50−8x...where Y is the number of eyeglasses he has left to collect for the month and x is the number of days he has actively been collecting eyeglasses that month.What is the meaning of 50 in this equation?
A. Dr. Bibler has a goal of collecting 50 eyeglasses each month
B. Dr. Bibler collects 50 eyeglasses each day
C. Dr. Bibler distributes 50 eyeglasses each day to the needy
D. Dr. Bibler starts out each month with 50 eyeglasses

9, Which equation is equivalent to 15x+10y=2?
A. y=−8−15x
B. 3x+2y=2
C. y=1/5−3/2x
D. y=−3/2x+1

10. A homeowner is planning to build a walkway to surround a circular garden. The walkway will be 3 feet wide and will provide easy access to the garden. The equation below relates the area A of the walkway to the circumference c of the garden:A=5c+35...where A is in square feet and c is in feet.Based on the equation, how many feet will the circumference of the garden increase when the area of the walkway is increased by 2 additional square feet?
A. 2/5
B. 1/5
C. 7
D. −2/5

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