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Equations Review Homework
Question 6 of 6
During his vacation, Dalyn rents a small boat from a rental service that charges a flat fee of $50 plus $10 per hour (including taxes).
The total charge comes to $90. Which equation can be used to calculate the number of hours, &, that Dalyn rents the boat?
A
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©
D
10x + 50 = 90; 4 hours
10 (x + 50) = 90; 4 hours
50x + 10 = 90: 3 hours
30 (x + 10) = 90: 3 hours
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Answer:

10x + 50 = 90; 4 hours

Step-by-step explanation:

Let

x -----> the number of hours

y ----> the total charge

we know that

The total charge is equal to the number of hours multiplied by the rate of $10 per hour plus a flat fee of $50

so

The linear equation that represent this problem is

[tex]y=10x+50[/tex]

For y=$90

substitute in the equation and solve for x

[tex]90=10x+50[/tex]

Subtract 50 both sides

[tex]90-50=10x+50-50[/tex]

[tex]40=10x[/tex]

Divide by 10 both sides

[tex]x=4\ hours[/tex]

therefore

10x + 50 = 90; 4 hours