MATH SOLVE

3 months ago

Q:
# 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?

Accepted Solution

A:

Answer:Part a) [tex]y=18.50x+100[/tex]Part b) The total cost is [tex]\$220.25[/tex]Part c) see the explanationStep-by-step explanation:Part a) Write a linear equation to represent this situationDefine the variablesLetx ----> the number of hoursy ----> the total cost in dollarswe know thatThe linear equation in slope intercept form is equal to[tex]y=mx+b[/tex]wherem is the slope or the unit rateb is the y-intercept or initial value (value of y when the value of x is equal to zero)In this problem we have thatThe unit rate or slope is equal to[tex]m=\$18.50\ per\ hour[/tex]The y-intercept or initial value is equal to[tex]b=\$100[/tex]substitute[tex]y=18.50x+100[/tex]Part b) Use the equation to find the total cost to rent skis from 8:30 am to 3:00 pmRemember that 3:00 pm=15:00 sofrom 8:30 am to 3:00 pm, the total hours is equal to 15:00 -8:30=6:30=6.5 hFor x=6.5 hsubstitute in the linear equation and solve for y[tex]y=18.50(6.5)+100[/tex][tex]y=\$220.25[/tex]Part c) What does your answer mean in context of the problem?we have that[tex]y=220.25[/tex]That means -----> The total cost to rent skis for 6.5 hours is equal to $220.25