janet is going to hire a makeup artist for a fashion show and is comparing prices. Austin charges $54 as a booking fee and an additional $80 per hour. Brad charges $69 per hour, plus a booking fee of $65. Depending on the length of the show, the cost could end up being the same for either artist. How long would the show be? What would the cost be?

Question

Darwin Bolton

Mathematics

5 February, 08:34

janet is going to hire a makeup artist for a fashion show and is comparing prices. Austin charges $54 as a booking fee and an additional $80 per hour. Brad charges $69 per hour, plus a booking fee of $65. Depending on the length of the show, the cost could end up being the same for either artist. How long would the show be? What would the cost be?

+5

Answers (1)

Know the Answer?

Trevin Zavala · Answer 1

Step-by-step explanationF (t) = 24 + 36*t

G (t) = 22 + 38*t

They are the same when 24 + 36t = 22 + 38t

Everything to right side: 0 = 22 + 38t - 24 - 36t

0 = 2t - 2

2 = 2t

t=1

THey are the same at one hour.

Longer than 1 hour, the first one is cheaper.

Here's the table to compare them side by side

t 24 + 36 t 22 + 38t

1/2 42 41

1 60 60

2 96 98

3 132 136