A mother gives her children two options for their weekly allowance.

Option 1: Increase the allowance by 7% each year.

Option 2: Increase the allowance by $1 each year.

If their allowance is originally $10, which function reveals the difference in allowance between the two options, where x is the number of years?

A.

B.

C.

D.

1 answer

The increase in allowance for option 1 each year can be calculated using the formula: Increase = Original Allowance * (Percentage Increase/100) = $10 * (7/100) = $0.70

The increase in allowance for option 2 each year is always $1.

Therefore, the difference in allowance between the two options after x number of years can be represented by the function:

Difference = (Increase Option 2 - Increase Option 1) * x = ($1 - $0.70) * x = $0.30 * x

The correct answer is D.