Question

PLEASE HELP

Cal uses the equation y = 2.92
+ 2.4 to model his data. Use this equation to make the
following predictions.
Enter a number in each space provided
After 25 weeks, Cal will have saved a total of $____
The least number of whole weeks Cal must save to have a total of $100 saved is ____

Answer 1

(a) $62.92 saved in 25 weeks

(b) 41 weeks to save $100

Explanation:

Given

`y = 2.92 + 2.4x`

`x \to weeks`

`y \to savings`

Solving (a): Savings in 25 weeks.

This means that: x = 25

So:

`y = 2.92 + 2.4x`

`y = 2.92 + 2.4 * 25`

`y = 2.92 + 60`

`y = 62.92`

Solving (b): Whole weeks to save $100

This means that x = 100

So:

`y = 2.92 + 2.4x`

`100 = 2.92 + 2.4x`

Collect like terms

`2.4x = 100 - 2.92`

`2.4x = 97.08`

Solve for x

`x = 97.08/2.4`

`x = 40.45`

Round up

`x = 41`