A parking garage charges $5.50 to park for 4 hours and $7.75 to park for 7 hours. If the cost is a linear function of the number
of hours parked, what is the cost to park for 3 hours?
2 answers:
Answer:
see bottom
Step-by-step explanation:
y=mx+b
m=slope
b=yint
two points
cost=y
(4,5.5) and (7,7.75)
slope=(y2-y1)/(x2-x1)
slope=(7.75-5.5)/(7-4)=2.25/3=0.75
y=0.75x+b
find b
(4,5.5)
x=4
y=5.5
5.5=0.75(4)+b
5.5=3+b
minus 3 fromboth sides
2.5=b
y=0.75x+2.5
3 hours
y=0.75(3)+2.5
y=2.25+2.5
y=4.75
answer is D
Given:
hours parking charge
4 5.50
7 7.75
7 - 4 = 3 hours
7.75 - 5.50 = 2.25
2.25 / 3 = 0.75
0.75 is the change in amount for every hour spent. It is the variable unit rate
4 hours is 5.50.
Cost of parking for 3 hours is: 5.50 - 0.75 = 4.75
0.75 x 4 hours = 3
5.50 - 3 = 2.5 fixed charge.
total parking charge: y = 2.50 + 0.75x
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