4. Technology required. Priya starts with $50 in her bank account. She then deposits $20
each week for 12 weeks.
a. Write an equation that represents the relationship between the dollar amount
in her bank account and the number of weeks of saving.
d=50+20w
b. Graph your equation using graphing technology. Mark the point on the graph
that represents the amount after 3 weeks.

Question

08-09-2022
Mathematics

Answered

4. Technology required. Priya starts with $50 in her bank account. She then deposits $20
each week for 12 weeks.
a. Write an equation that represents the relationship between the dollar amount
in her bank account and the number of weeks of saving.
d=50+20w
b. Graph your equation using graphing technology. Mark the point on the graph
that represents the amount after 3 weeks.

Answer :

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varshamittal029 varshamittal029 · Answer 1 · 2022-09-13T07:27:45-04:00

The equation [tex]d=50+20w[/tex] represents the relationship between dollar amount in her bank account and the number of weeks of savings.

The definition of an equation is a formula that states that two formulas are equal. For example, 3x + 5 = 14 is an equation where 3x + 5 and 14 are two terms separated by an equal sign. The most basic and simple algebraic equations consist of one or more variables in mathematics.
In mathematics, a graph can be defined as a graphical representation or chart that systematically represents data or values.
A point on a graph often represents a relationship between two or more things.

(a) It is given that amount in bank account is $50 , amount deposited by Priya is $20 and time period is 12 weeks .

Let " d " be the dollar and " w " be the weeks

Multiply the number of weeks w by 20 to get the total savings and add up how much money she had in the account initially.

Money deposit by Priya in 1 week = $20

Money deposit by Priya in 1 week = [tex]20\times w[/tex]

Therefore , the equation will be [tex]d=50+20w[/tex]

(b) Graph of given equation is given below :

Let " w " represents the x - axis and " d " represents the y - axis

For 1 week , amount will be [tex]d=50+20=60[/tex]

For 2 week , amount will be [tex]d=50+20(2)=90[/tex]

For 3 week , amount will be [tex]d=50+20(3) = 110[/tex]

And so on..

From the graph ,the point which represents the amount after 3 weeks is

(3 , 110 )

Learn more about equation and graph here :

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