Question

Bazinga charges $16.50 per hour to dogsit. Complete the table and answer the questions below.

number of hours
charge in dollars
1
16.50
49.50
6
199.00
132.00
8
A Write an expression describing Bazinga's earnings for working h hours.

Answer 1

#A

No preliminary values so no y intercept

rate of change =16.5

Equation

• y=mx
• y=16.5x

#2

4-1/2=4.5hours

Put 4.5 in equation

• y=16.5(4.5)
• y=74.25$

#3

Let y be 115.5

Now

• 16.5x=115.5
• x=115.5/16.5
• x=7hours

Answer 2

A) c = 16.5h

B) $74.25

C) 7 hours

Explanation:

Bazinga charges $16.50 per hour to dog sit.

Therefore, to calculate the total charge, multiply the number of hours by the charge per hour:

`\large \begin{array} c \cline{1-2} \sf number\:of\:hours & \sf charge\:in\:dollars\\\cline{1-2} 1 & 16.50 \\\cline{1-2} 3 & 49.50 \\\cline{1-2} 6 & 99.00 \\\cline{1-2} 8 & 132.00 \\\cline{1-2}\end{array}`

Part A

As explained above, to calculate the total charge, multiply the number of hours worked by the charge per hour of $16.50

⇒ c = 16.5h

where:

• h = number of hours worked
• c = total charge (in dollars)

Part B

To calculate how much Bazinga will earn if they dog sit for 4.5 hours, substitute h = 4.5 into the equation and solve for c:

⇒ c = 16.5h

⇒ c = 16.5(4.5)

⇒ c = $74.25

Part C

To calculate how long it will take Bazinga to earn $115.50, substitute c = 115.5 into the equation and solve for h:

⇒ c = 16.5h

⇒ 115.5 = 16.5h

⇒ h = 115.5 ÷ 16.5

⇒ h = 7 hours