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‚Äč

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

Answers ( )

    0
    2021-09-11T01:17:16+00:00

    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)

    50+5x=10+30x\\50-10=30x-5x\\40=25x\\25x=40

    Dividing both sides by 25

    \frac{25x}{25}=\frac{40}{25}\\x=1.6

    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

    Learn more about functions at:

    • brainly.com/question/9738996
    • brainly.com/question/10250188

    #LearnwithBrainly

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