Question

A painter charges a flat fee of $100 and then $35 per hour (for up to 8 hours), h, that he spends painting. This relationship can be represented by the function F(h) = 100 + 35h where f(h) represents the total amount the painter charges.

If the painter works for 5 hours, how much will he charge?
(a) $100
(b) $175
(c) $225
(d) $310

What is the maximum amount the painter can charge for a full 8-hour day of work?
(a) $100
(b) $220
(c) $260
(d) $335

Answer 1

The painter will charge $275 for 5 hours of work. For an 8-hour day, the maximum charge would be $380, but this amount is not listed among the given options.

Step-by-step explanation:

The function F(h) = 100 + 35h represents the total amount a painter charges, where F(h) is the total charge and h is the number of hours worked. If the painter works for 5 hours, we calculate the charge as follows: F(5) = 100 + 35 * 5 = 100 + 175 = $275. Therefore, the painter will charge $275 for 5 hours of work, which corresponds to option (c).

The maximum amount the painter can charge for a full 8-hour day can be calculated using the same function: F(8) = 100 + 35 * 8 = 100 + 280 = $380. This means the maximum charge for an 8-hour day is $380, which is not listed in your options, hence, there might be an error in the options provided.