Match the following equation to the correct situation.

Question

60%(b + $15.00) = 60%(b) + $9.00
A.
Summer paid $9.00 more than 60% of b.

B.
A school received a donation that was 60% more than $9.00.

C.
Shawn owed 60% of his tuition bill, b, after paying $9.00.

D.
The cost for a coat was 60% of the sum of b and $9.00.

Answer 1

The equation \(60%(b + $15.00) = 60%(b) + $9.00\) can be matched to:

D. The cost for a coat was 60% of the sum of b and $9.00.

Here's the reasoning:

• The left side of the equation, \(60%(b + $15.00)\), represents 60% of a total (which includes \(b\) plus an additional $15.00).
• The right side, \(60%(b) + $9.00\), represents 60% of \(b\) plus an additional $9.00.
• The equation thus indicates that ignoring the additional $15.00 results in the coat costing an additional $9.00, which aligns with the description in option D.

Let's check the other options:

• A: This option doesn't match as it describes the relationship without the $15.00.
• B: This option implies a total donation rather than a calculation based on tuition.
• C: This suggests a situation after payment, which does not align with the structure of the equation.

Thus, the best match is option D.