Question

A parking garage charges $5 for the first hour, $10 for up to two hours, and $12 for the entire day. Let G be the dollar cost of parking for t hours. How much would it be for 1/2 an hour and how much would it be for 1 3/4hour

Answer 1

For
`\(t = (1)/(2)\)` hour, the cost is $5 as it falls within the first hour category.

For t = 1 hour and t = 2 hours, the cost remains $5 and $10, respectively.

For
`\(t = 1 (3)/(4)\)` hours, the cost is $10, as it is still within the two-hour range.

To complete the table, we need to calculate the cost of parking G for the given time intervals (t) based on the parking garage's pricing structure.

The information provided states that the first hour costs $5, up to two hours costs $10, and the entire day costs $12.

t (hours) G (dollars)

0 0

1/2 5

1 5

1(3)/(4) 10

2 10

For
`\(t = (1)/(2)\)` hour, the cost is $5 as it falls within the first hour category.

For t = 1 hour and t = 2 hours, the cost remains $5 and $10, respectively.

For
`\(t = 1 (3)/(4)\)` hours, the cost is $10, as it is still within the two-hour range.

The table reflects the cumulative cost for each time interval based on the provided pricing structure.

The probable question may be:

A parking garage charges $5 for the first hour, $10 for up to two hours, and $12 for the entire day. Let G be the dollar cost of parking for t hours. How much would it be for 1/2 an hour and how much would it be for 1 3/4hour?

complete the table

t (hours) G (dollars)

0

1/2

1

1(3)/(4)

2

5

Answer 2

For the first two hours, the charges per hour is $10/2 = $ 5 per hour

for 1/2 an hour, the cost will be 1/2 x 5 = $2.5

for 1 3/4 hour, the cost will be 1 3/4 x $5 = 7/4 x $5 = $8.75