Question

46. Hannah walks dogs for four different families. She charges each family the same

amount of money per hour. The numbers of hours she worked last week walking

dogs for each of the families are shown.

14 hours, 2 hours, 13 hours

, 3 hours

Hannah earned $93 for the hours she worked last week walking dogs.

• Calculate the amount of money Hannah earns per hour for walking dogs

• Write an equation that can be used to determine the amount of money, m, in

dollars, Hannah earns when she works h hours walking dogs.

• Show your work or explain your answer.

Answer 1

• Hannah earns $2.9 per hour for walking dogs
• The equation is m = $2.9h

Explanation:

From the question,

• Hannah walks dogs for four different families and charges them the same amount of money per hour.

• Also, The numbers of hours she worked last week for each of the families are 14hours, 2 hours, 13 hours, and 3 hours.

Hence, she worked for a total of (14 + 2 + 13 + 3) hours.

(14 + 2 + 13 + 3) hours = 32 hours

Hence, she worked for a total of 32 hours last week.

• Also, she earned $93 for the hours she worked last week

To calculate the amount of money Hannah earns per hour for walking dogs, that will be

$93 ÷ 32 hours = $2.9/hour

Hence, Hannah earns $2.9 per hour for walking dogs

For the equation that can be used to determine the amount of money, m, Hannah earns when she works h hours walking dogs,

If she works h hours for working dogs, then she will earn

$2.9 × h = $2.9h

Hence,

m = $2.9h

Where m is the amount of money Hannah earns in dollars

and h is the number of hours she spends walking dogs.