QuestionFind the equation relating $p$ (hours parked) and $c$ (cost in dollars) if Alexandra paid \$7 for 3 hours.

Studdy Solution

STEP 1

Assumptions1. Alexandra paid $7 for3 hours of parking. . The parking garage charges a constant hourly rate.
3. We need to find an equation that relates the cost of parking (c) and the number of hours parked (p).

STEP 2

We can start by finding the hourly rate. This can be done by dividing the total cost by the total number of hours parked.
$Hourly\, rate = \frac{Total\, cost}{Total\, hours}$

STEP 3

Now, plug in the given values for the total cost and total hours to calculate the hourly rate.
$Hourly\, rate = \frac{\$7}{3\, hours}$

STEP 4

Calculate the hourly rate.
$Hourly\, rate = \frac{\$7}{3\, hours} = \$\frac{7}{3}\, per\, hour$

STEP 5

Now that we have the hourly rate, we can write an equation that shows the relationship between the cost of parking (c) and the number of hours parked (p). The cost of parking is equal to the hourly rate times the number of hours parked.
$c = Hourly\, rate \times p$

STEP 6

Substitute the hourly rate into the equation.
$c = \$\frac{}{3}\, per\, hour \times p$

STEP 7

implify the equation.
$c = \$\frac{7}{3}p$ So the equation that shows the relationship between the cost of parking (c) and the number of hours parked (p) is $c = \$\frac{7}{3}p$ .

Was this helpful?

QuestionFind the equation relating $p$ (hours parked) and $c$ (cost in dollars) if Alexandra paid \$7 for 3 hours.

Studdy Solution

STEP 1

Assumptions1. Alexandra paid $7 for3 hours of parking. . The parking garage charges a constant hourly rate.
3. We need to find an equation that relates the cost of parking (c) and the number of hours parked (p).

STEP 2

We can start by finding the hourly rate. This can be done by dividing the total cost by the total number of hours parked.
$Hourly\, rate = \frac{Total\, cost}{Total\, hours}$

STEP 3

Now, plug in the given values for the total cost and total hours to calculate the hourly rate.
$Hourly\, rate = \frac{\$7}{3\, hours}$

STEP 4

Calculate the hourly rate.
$Hourly\, rate = \frac{\$7}{3\, hours} = \$\frac{7}{3}\, per\, hour$

STEP 5

Now that we have the hourly rate, we can write an equation that shows the relationship between the cost of parking (c) and the number of hours parked (p). The cost of parking is equal to the hourly rate times the number of hours parked.
$c = Hourly\, rate \times p$

STEP 6

Substitute the hourly rate into the equation.
$c = \$\frac{}{3}\, per\, hour \times p$

STEP 7

implify the equation.
$c = \$\frac{7}{3}p$ So the equation that shows the relationship between the cost of parking (c) and the number of hours parked (p) is $c = \$\frac{7}{3}p$ .

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionFind the equation relating ppp (hours parked) and ccc (cost in dollars) if Alexandra paid \$7 for 3 hours.

Studdy Solution

STEP 1

Assumptions1. Alexandra paid $7 for3 hours of parking. . The parking garage charges a constant hourly rate.3. We need to find an equation that relates the cost of parking (c) and the number of hours parked (p).

STEP 2

We can start by finding the hourly rate. This can be done by dividing the total cost by the total number of hours parked.Hourly rate=Total costTotal hoursHourly\, rate = \frac{Total\, cost}{Total\, hours}Hourlyrate=TotalhoursTotalcost​

STEP 3

Now, plug in the given values for the total cost and total hours to calculate the hourly rate.Hourly rate=$73 hoursHourly\, rate = \frac{\$7}{3\, hours}Hourlyrate=3hours$7​

STEP 4

Calculate the hourly rate.Hourly rate=$73 hours=$73 per hourHourly\, rate = \frac{\$7}{3\, hours} = \$\frac{7}{3}\, per\, hourHourlyrate=3hours$7​=$37​perhour

STEP 5

Now that we have the hourly rate, we can write an equation that shows the relationship between the cost of parking (c) and the number of hours parked (p). The cost of parking is equal to the hourly rate times the number of hours parked.c=Hourly rate×pc = Hourly\, rate \times pc=Hourlyrate×p

STEP 6

Substitute the hourly rate into the equation.c=$3 per hour×pc = \$\frac{}{3}\, per\, hour \times pc=$3​perhour×p

STEP 7

implify the equation.c=$73pc = \$\frac{7}{3}pc=$37​pSo the equation that shows the relationship between the cost of parking (c) and the number of hours parked (p) is c=$73pc = \$\frac{7}{3}pc=$37​p.

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionFind the equation relating $p$ (hours parked) and $c$ (cost in dollars) if Alexandra paid \$7 for 3 hours.

Assumptions1. Alexandra paid $7 for3 hours of parking. . The parking garage charges a constant hourly rate.
3. We need to find an equation that relates the cost of parking (c) and the number of hours parked (p).

We can start by finding the hourly rate. This can be done by dividing the total cost by the total number of hours parked.
$Hourly\, rate = \frac{Total\, cost}{Total\, hours}$

Now, plug in the given values for the total cost and total hours to calculate the hourly rate.
$Hourly\, rate = \frac{\$7}{3\, hours}$

Calculate the hourly rate.
$Hourly\, rate = \frac{\$7}{3\, hours} = \$\frac{7}{3}\, per\, hour$

Now that we have the hourly rate, we can write an equation that shows the relationship between the cost of parking (c) and the number of hours parked (p). The cost of parking is equal to the hourly rate times the number of hours parked.
$c = Hourly\, rate \times p$

Substitute the hourly rate into the equation.
$c = \$\frac{}{3}\, per\, hour \times p$

implify the equation.
$c = \$\frac{7}{3}p$ So the equation that shows the relationship between the cost of parking (c) and the number of hours parked (p) is $c = \$\frac{7}{3}p$ .