Liam rented a pedal board for 5.5 hours and paid a total of $93.75. What is an equation in point-slope form that
models the cost of renting a pedal board for x hours? How can Liam use the equation to find the one-time service
charge?

Respuesta :

Answer: if y is the total cost of the rental, then y-93.75=12.5(x-5.5) models the cost of renting a pedal board for x hours. liam should rewrite the equation from the previous step so that y is isolated on one side. the constant on the other side is then the service fee.

Step-by-step explanation:

yeah that’s all

The point-slope form equation is an equation that has a slope "m" and passes through a point or two points.

The equation to find the one-time service charge is 93.75 = 17.05x + b

  • The point-slope form equation is written as:

y = mx + b

Where

m = gradient

b = slope of the line

  • Liam rented a pedalboard for 5.5 hours and paid a total of $93.75.

Therefore, the cost of renting a pedalboard for 1 hour

= $93.75/5.5

= $17.05

  • a) An equation in a point-slope form that  models the cost of renting a pedal board for x hours is written as:

y = mx + b

Where

y = Total charge = $93.75

m = Cost of renting a pedalboard per hour = $17.05

x = Number of hours for renting a pedal board

Hence, the equation is given as:

93.75 = 17.05x

  • b)The equation to find the one-time service charge where the service charge is b is given as

Hence, the equation is given as:

93.75 = 17.05x + b

Where b = service charge

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