Slope Real World Word Problems

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. 

• y = $50x

• y = $20x + 30

• y = $30x + $20

• $30x + y = $20

Lee charges $3 for a basket and $2.50 for each pound of fruit picked at the orchard. Write an equation in y = mx + b form for the total cost of x pounds of fruit from the orchard.

• y = 3x + 2.5

• y = 2.50x + 3

• y = 2.50x 

• y = 3x + 2.50

For lunch, Amanda had a hamburger and some potato chips. The hamburger totaled 325 calories and each chip had 12 calories. Write a linear equation to represent the situation.

• y = 12 + 325

• y = 12x  + 325

• y = 325 - 12x

• y = 325x + 12

How can the concept of slope be applied in real-life situations?

• By calculating the volume of a 3D shape

• By measuring the distance between two points on a map

• By determining the temperature of a liquid

• By understanding how steep or gradual a road, hill, or ramp is, which can affect driving, walking, or construction.

Sandwiches at King Sandwich cost the same amount and include bread, meat, cheese, lettuce, and tomato. All other vegetables are extra. Sam bought a chicken sandwich with 3 extra vegetables for $5.25. Erin bought a roast beef sandwich with 5 extra vegetables for $6.25. What is the slope?

• $1/2 vegetables

• $2/1 vegetable

• $6.25/2 vegetables

• $5.25/2 vegetables

What is the slope and what does the slope represent?

• m = -2, 2 gallons of water leaves every 1 minute

• m = 18, 18 gallons of water leaves the tank every minute

• m = -2, The tank starts with -2 gallons of water

• m = 18, The tank starts with 18 gallons of water.

I went to Flamingo Bowl this weekend and paid $5 per game and $2 for the bowling shoes. To write the linear equation for this situation, first tell me which is the slope.

Mathematical Equivalence

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Find the slope of the situation and explain what it means in the context of the situation: Raul is planting daisies. When he started today, he already had 7 daisies planted. By the end of three hours, he had 37 daisies planted. The independent variable is hours and dependent variable is daisies planted.

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Sandwiches at King Sandwich cost the same amount and include bread, meat, cheese, lettuce, and tomato. All other vegetables are extra. Sam bought a chicken sandwich with 3 extra vegetables for $5.25. Erin bought a roast beef sandwich with 5 extra vegetables for $6.25.

What is the slope?

• $1/2 vegetables

• $2/1 vegetable

• $6.25/2 vegetables

• $5.25/2 vegetables

Find the slope of the situation and explain what it means in the context of the situation: Jason is selling model trains online. He sold 6 trains for $180. The independent variable is trains sold and dependent variable is money earned.

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