AlgebraHardFixed cost from two totals
Algebra practice question
A photographer charges a fixed booking fee plus a constant amount per hour. A 3-hour session costs $60 and a 6-hour session costs $96. What is the booking fee?
- A. $24Correct
- B. $12
- C. $36
- D. $20
Answer: A. $24
Hourly rate: (96 − 60)/(6 − 3) = $12. Then 60 = fee + 3 × 12, so the fee is $24.
Why the other answers are wrong
- B. $12
- $12 is the hourly rate, not the fee.
- C. $36
- $36 is the difference between the two totals.
- D. $20
- $20 is 60 ÷ 3, treating the 3-hour price as if there were no fee.
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