Question

Based on the table, which function best models this situation?12Inflata RatesTime (hours) 1 4. 8Cost ($) 115.75 313 576

Answer 1

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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