dte of Change and the Initial Value Tor this Sitatio xt75 Make Predictions The t
ID: 3148524 • Letter: D
Question
dte of Change and the Initial Value Tor this Sitatio xt75 Make Predictions The total cost to pay for parking at a state park for the day and rent a paddleboat are shown. Find the cost to park for a day and the hourly rate to rent a paddleboat. a. Number Cost of Hours($) $17 $29 $41 $53 What will Lin pay if she rents a paddleboat for 3.5 hours and splits the total cost with a friend? Explain. b. Multi-Step Raymond's parents will pay for him to take sailboard lessons during the summer. He can take half-hour group lessons or half-hour private lessons. The relationship between cost Lessons Group ($) 55 85 115 145 Private ($) 75 125 175 225 and number of eson Private(i5) 75 125 175 225 a. Find the rate of change and the initial value for the group lessonsExplanation / Answer
conconsider the points from table(1,17),(2,29)
slope=(y2-y1)/(x2-x1)=(29-17)/(2-1)=12
y=mx+b
now consider point(3,41)
41=12*3+b
b=41-36=5
y=12x+5
where y =total cost
x=hourly rate
cost to park for a day=24hours
total cost=12*24+5=$293
b)
if she rents for 3.5 hrs
total cost=12*3.5+5=$47
if she shares with her friend=$47/2=$23.5
lina has to pay 23.5
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