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p(t) represents how much it costs (In Dollars) to park your car at an airport parking lot for t hours. How much would it cost to park at the airport for 6 hours.

User Fareed
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1 Answer

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The calculated cost to park at the airport for 6 hours is $36

How much would it cost to park at the airport for 6 hours.

From the question, we have the following parameters that can be used in our computation:

t P(t)

1 16

2 20

3 24

4 28

A linear function is represented as

P(t) = mt + c

Using the points (1, 16) and (2, 20), we have

m + c = 16

2m + c = 20

Subtract the equations to calculate m

So, we have

2m - m + c - c = 20 - 16

m = 4

Recall that

m + c = 16

So, we have

4 + c = 16

c = 12

This means that the function is

P(t) = 4t + 12

The cost to park at the airport for 6 hours is calculated as

P(6) = 4 * 6 + 12

P(6) = 36

Hence, the cost to park at the airport for 6 hours is $36

Question

p(t) represents how much it costs (In Dollars) to park your car at an airport parking lot for t hours. How much would it cost to park at the airport for 6 hours.

t P(t)

1 16

2 20

3 24

4 28

User Martin Beckett
by
8.4k points

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