You plan to go skiing this weekend in tennessee. the ski resort charges $18.50 per hour in addition to a $100 deposit to rent skis.

a) write a linear equation to represent this situation.

b) use the equation to find the total cost to rent skis from 8: 30 am to 3: 00 pm. you must show and explain all your work.

c) what does your answer mean in context of the problem?

Part a)

Part b) The total cost is

Part c) see the explanation

Step-by-step explanation:

Part a) Write a linear equation to represent this situation

Define the variables

Let

x ----> the number of hours

y ----> the total cost in dollars

we know that

The linear equation in slope intercept form is equal to

where

m is the slope or the unit rate

b is the y-intercept or initial value (value of y when the value of x is equal to zero)

In this problem we have that

The unit rate or slope is equal to

The y-intercept or initial value is equal to

substitute

Part b) Use the equation to find the total cost to rent skis from 8:30 am to 3:00 pm

Remember that

3:00 pm=15:00

so

from 8:30 am to 3:00 pm, the total hours is equal to

15:00 -8:30=6:30=6.5 h

For x=6.5 h

substitute in the linear equation and solve for y

Part c) What does your answer mean in context of the problem?

we have that

That means -----> The total cost to rent skis for 6.5 hours is equal to $220.25