Question

Micheal's savings can be modeled by the regression equation y= 10x^2 +50x+300. Which of the following is the best prediction for the amount he will have saved after 20 months?

Choices:
A.$10,800

B.$7,260

C. $5,300

D. $9,540

Answer 1

Answer: The correct option is C.

Step-by-step explanation:

It is given that Micheal's savings can be modeled by the regression equation,

`y=10x^2+50x+300`

Where x is the number of months and y is the amount of saving.

We have to find the best prediction for the amount he will have saved after 20 months.

Put x=20 in the given equation.

`y=10(20)^2+50(20)+300`

`y=10(400)+1000+300`

`y=4000+1000+300`

`y=5300`

He can save 5,300 after 20 months.

Therefore the correct option is C.