30 POINTS 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? $175? Show your work and explain.
10. What is the rate of change?
11. How does knowing the rate of change help you in answering questions in this problem?
12. Use your equation to complete the table representing John's savings:
# of Months Saving Account Balance ($)
0
1
2
3
4

7.) y=10x

8.) $140 in 14 months, $60 in 6 months

9.) He will have saved $100 in 10 months and $175 in 17.5 months

10.) The rate of change is 10

11.) Knowing the rate of change helps you in answering this problem because it tells you how much money he saves per month.

12.)

0- $0

1- $10

2-$20

3-$30

4-$40

Step-by-step explanation:

7.) The standard form of a linear equation is y=mx+b

The starting balance is 0 so there is no point to adding b. M is the amount of money he deposits each month so that is 10. You plug in the values and you get y=10x (+0)

8.) y=10(14)

$140

y=10(6)

$60

9.) 100=10x

100/10= 10

10 months

175=10x

175/10=17.5

17.5 months

10.) The rate in change is m so 10.

Hope I explained this in simple enough terms. Have a good day!

astronomers is your final answer! : )