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Ralph opened a savings account with a deposit of $100. Every month after that, he deposited $20 more.

a. Why is the relationship described not proportional?

b. How could the situation be changed to make the situation proportional?

Respuesta :

ayah1
a. The relationship is not proportional because his savings account started with $100 and then he adds 20 each month. 

b. To make it proportional Ralph's savings account needs to start with $0. 
calculista

Part a) Why is the relationship described not proportional?

we know that

A relationship between two variables, x, and y, represent a direct variation or proportional if it can be expressed in the form

[tex] \frac{y}{x} =k\ or\ y=kx [/tex]

In this problem

Let

x-------> number of months

y-------> amount of money in the saving account

The problem can be modeled by the following equation

[tex] y=20x+100 [/tex]

So

[tex] 20x+100\neq kx [/tex]

In the proportional situation for the value of x equal to zero , the value of y is also equal to zero

therefore

the answer Part a) is

The relationship is not proportional because his savings account started with $[tex] 100 [/tex]

Part b) How could the situation be changed to make the situation proportional?

To make it proportional Ralph's savings account needs to start with $[tex] 0 [/tex]

so

we make the initial deposit equal to zero, maintaining the monthly deposits of $[tex] 20 [/tex], the equation would be

[tex] y=20x [/tex]

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