Answer
Explanation
We've been told to pick the function that best models the data in the table.
Given that x = time (hours)
y = Cost (dollars)
The best approach is to examine each of the options to pick which one matches the data in the table
Option A
y = 65.75x + 50
when x = 1
y = 65.75 (1) + 50
= 65.75 + 50
= 115.75
when x = 4
y = 65.75 (4) + 50
= 263 + 50
= 313
when x = 8
y = 65.75 (8) + 50
= 526 + 50
= 576
when x = 12
y = 65.75 (12) + 50
= 789 + 50
= 839
Option A matches the data perfectly.
Option B
y = 50x + 115.75
when x = 1
y = 50 (1) + 115.75
y = 50 + 115.75
y = 165.75
Since this first attempt for the second function doesn't match the data in the table, we can easily write this option off as a wrong answer.
Option C
y = 65.75x + 1
when x = 1
y = 65.75 (1) + 1
= 65.75 + 1
= 66.75
Since this first attempt for the third function doesn't match the data in the table, we can easily write this option too off as a wrong answer.
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