Slope and Intercept Word Problems

1. A canoe rental service charges a $20 transportation fee and $30 dollars an hour to rent a canoe. Write and graph an equation representing the cost, y, of renting a canoe for x hours.

• x = 30 + 20

• y = 20 + 30

• x = 20y + 30

• y = 30x + 20

For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Graph a linear equation (y=mx+b) to model this situation.

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Which equation best represents the relationship between the x-values and the y-values in the table?

• y = x + 13

• y = 3x + 13

• y = 3x + 10

• y = 10x + 3

I use the formula y = 5x + 20 to figure out what I will pay to rent a moped when I go to Old Orchard Beach on vacation. x represents the number of hours that I rent the moped and y is the total cost. What could the 5 represent in the story?

• The cost to rent the moped per hour

• The flat fee for renting the moped

• The y intercept

• The starting point in the story.

Alex has $150 in his bank account. Each week he is going to add $15 that he earns for babysitting his sister. The y intercept in the story is.

• -150

• 15

• -15

• 150

Alex has $150 in his bank account. Each week he is going to add $15 that he earns for babysitting his sister. The slope in this story is

• -150

• -15

• 15

• 150

Mrs. Hartshorn uses the formula y = -3x + 27 to keep track of how much money she has in her coffee fund each day (she buys one coffee each day). x is the number of days and y is the amount of money in her coffee account. What would the 27 represent in the story?

• What she pays for each coffee

• The rule

• How much money she starts with in her fund

• It means nothing. Mrs. Hartshorn just likes the number 27.

Mrs. Hartshorn uses the formula y = -3x + 27 to keep track of how much money she has in her coffee fund each day (she buys one coffee each day). x is the number of days and y is the amount of money in her coffee account. What does the -3 represent in the story?

• The cost of each coffee

• What she started with in her coffee fund.

• The rule

• It means nothing. Mrs. Hartshorn just likes the number -3.

I use the formula y = 5x + 20 to figure out what I will pay to rent a moped when I go to Old Orchard Beach on vacation. x represents the number of hours that I rent the moped and y is the total cost. What could the 20 represent in this story?

• Constant rate of change

• A flat fee for renting the moped

• Slope

• The cost per hour.

I use the formula y = 5x + 20 to figure out what I will pay to rent a moped when I go to Old Orchard Beach on vacation. x represents the number of hours that I rent the moped and y is the total cost. If I rented the bike for 6 hours, what would the total cost be?

• $30

• $76

• $20

• $50