Two snow resorts offer private lessons to their customers. Resort 1, R., charges $5 per hour plus$50 in advance. Resort 2, R., charges

Question

Two snow resorts offer private lessons to their customers. Resort 1, R., charges
$5 per hour plus$50 in advance. Resort 2, R., charges $30 per hour plus$10 in
advance. Write a system of equations for the two resorts. For what number of hour
is the cost of the lessons the same for each resort?
A 1 hour
B 1.6 hours
C 2 hours
D never the same​

in progress 0
1 week 2021-09-11T01:15:45+00:00 1 Answer 0

1. The right answer is Option B: 1.6 hours

Step-by-step explanation:

Resort 1 charges;

Advance = $50 Per hour charges =$5

Let,

x be the number of hours

R1(x) = 50+5x

Resort 2 charges;

Advance = $10 Per hour charges =$30

R2(x) = 10+30x

When the cost will be same, the two functions will be equal;

R1(x) = R2(x)

Dividing both sides by 25

For 1.6 hours, the cost of the lessons will be same for each resort.

The right answer is Option B: 1.6 hours

Keywords: functions, division