Mrs. Dolores is shipping a package to her grandkids. The post office charges a shipping fee of $9 plus $.50 per pound. Ship4U charges a shipping fee of $6 plus $.80 per pound. Which inequality best represents the number of pounds the package can weigh for Ship4U to be the cheaper option?

Question

14-09-2022
Mathematics

Answered

Mrs. Dolores is shipping a package to her grandkids. The post office charges a shipping fee of $9 plus $.50 per pound. Ship4U charges a shipping fee of $6 plus $.80 per pound. Which inequality best represents the number of pounds the package can weigh for Ship4U to be the cheaper option?

Answer :

Other Questions

a cell phone carrier charges a monthly fee of $20 and also charges customers $0.05 per text message. the function c(t) = 0.05t +20 represents the cost, c, per m

Which of the following values are solutions to the inequality -7 2 + 5x? I. - 10 II. 3 III. - 1

Write a compound inequality that represents the sentence below. A quantity x is either less than 4 or greater than 22.

The coordinates of the point of the way from A to B are____

For the pair of functions f and g, determine the domain of the sum, difference and product of the two functions. x-10-9(x)=10x³ f(x)= What is the domain of the

the perimeters of two squares are in the ratio 2 : 7. What is the ratio of the area of the smaller square to the area of the larger square

The price of one share of ABC Company declined (less) a total of $39.48 in 5 days. What was the average (division) change of the price of one share per one day?

The quotient of 1 and a number

Which expression is equivalent to quantity negative three and one fourth times d plus three fifths end quantity minus quantity two and seven eighths times d plu

If Wal-Mart wanted to decrease their employees" soda consumption by 25 sodas per day, write an equation that they could use to calculate the number of sodas con

rvkacademic rvkacademic · Answer 1 · 2022-09-15T00:43:47-04:00

Answer:

X < 10
where X is the weight of the package in pounds

The package should weigh less than 10 pounds for Ship4U to be the cheaper option

Step-by-step explanation

Let the weight of the package be X pounds

Cost of shipping by Post Office = 9 + 0.5X

Cost of shipping by Ship4U = 6 + 0.8X

For Ship4U to be the cheaper option
6 + 0.8X < 9 + 0.5X

Subtract 6 on both sides and subtract 0.5X from both sides:
0.8X - 0.5X < 9 - 6
0.3X < 3

Divide by 0.3 on both sides
0.3X/0.3 < 3/0.3

X < 10

The package should weigh less than 10 pounds for Ship4U to be the cheaper option

At a weight of 10 pounds, both shipping costs are the same
Post Office cost for 10lb package = 9 + 0.5(10) = 9 + 5 = $14
Ship4U cost for 10lb package = 6 + 0.8(10) = 6 + 8 = $14