Question

The initial value is
It represents
the fee to rent skates
Skating Time (h),
Total Cost ($). y
0
5
Total Cost ($)
>> Describe the rate of change of the function.
The rate of change is
It represents
5(0,5)
X
0
7
8
9
X
0
1
2
the
cost per hour to skate
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Answer 1

Initial value: 5.
- At x = 0 (0 hours) the total cost is $5, so the $5 is the fixed rental/entry fee.

Rate of change (slope): $2 per hour.
- Using the points (0,5) and (1,7): slope = (7 − 5)/(1 − 0) = 2.
- Using (0,5) and (2,9): slope = (9 − 5)/(2 − 0) = 2.

Meaning: the rate of change $2 per hour is the additional cost for each hour of skating. The linear cost function is y = 5 + 2x (y in dollars, x in hours).