kaitlin459d
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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​

Respuesta :

absor201

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)

[tex]50+5x=10+30x\\50-10=30x-5x\\40=25x\\25x=40[/tex]

Dividing both sides by 25

[tex]\frac{25x}{25}=\frac{40}{25}\\x=1.6[/tex]

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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