John opens a savings account and decides to deposit $10 each month. Let x represent the number of months that he has been saving, and y represent the total amount of money saved.
7. What is the algebraic equation for John's saving plan?
8. How much money will John have saved in 14 months? In 6 months? Show your work and
explain.
9. In how many months will John have saved $100? $175? Show your work and explain.
10. What is the rate of change?
11. How does knowing the rate of change help you in answering questions in this problem?

Respuesta :

Answer:

1. 10x=y

2. 14/140 6/60

14x10= 140

6x60= 60

3. 100/10= 10

175/10+ 17.5

4. ROC- 10

5. it helps you predict the future savings

Step-by-step explanation:

The linear equation that represents the total amount of money saved at x's months is y = 10x and rate of change is 10

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

John opens a savings account and decides to deposit $10 each month.

7) The linear equation:

y = 10x

represents the total amount of money saved at x's months.

8) Plug x = 14 months

y = 10(14) = $140

Plug x = 6 months

y = 10(6) = $60

9) Plug y = 100

x = 100/10 = 10 months

Plug y = 175

x = 175/10 = 17.5 months

10) Rate of change = (140-60)/(14-6) = 10

11) It helps you predict the future savings

Thus, the linear equation that represents the total amount of money saved at x's months is y = 10x and rate of change is 10

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2