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Consultant A charges $160 for the first hour and $75 per hour after the first. Consultant B chargers a flat rate of $90 per hour. Consultant C charges $140 for the first hour and $80 per hour after the first. For a five hour session, which consultant offers the cheapest price? (CORRECT ANSWER: MARKED AS BRAINLIEST AND GETS 100 POINTS)

A. Consultant A
B.Consultant B
C.Consultant C
D. All three offer the same price.

Respuesta :

ProfessorAlvarez

[tex]\text{Turn the question into equations to find your answer}\\\\\text{Consultant A:}\\\\y=75x+160\\\\\text{Consultant B:}\\\\y=90x\\\\\text{Consultant C:}\\\\y=80x+140\\\\\text{Plug in 4 to x for consultant a and c because a variable already represents}\\\text{an hour}\\\\y=75(4)+160\\\\y=80(4)+140\\\\y=90(5)\\\\\text{Solve:}\\\\y=75(4)+160\\\\y=460\\\\y=80(4)+140\\\\y=460\\\\y=90(5)\\\\y=450\\\\\text{This means that Consultant C offers a cheaper price of \$450}[/tex]

Answer:

B. Consultant B

Step-by-step explanation:

The question asked us to determine the price each consultant charges for a period of 5 hours and then get the cheapest among them.

Let the total charges for 5 hours session = a

Consultant A

He charges $160 for the first hour and $75 after the first. That means the remaining 4 hours he charges 75 ×  4 = $300.

a = 160 + 300 = $460

Consultant B

He charges $90 per hour. This means his charge for 5 hours session is 5 × 90 = $450

a = 90 × 5 = $450

Consultant C

He charges $140 for the first hour and $80 after the first hour. The remaining 4 hours session he will charge 4 × 80 = $320.

a = 140 + 320 = $460

Consultant B offers the cheapest price of $450

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