Linear Story Problems

Amelia has $100 in her savings account and plans on saving $20 per week. Write an equation to represent this situation.

• y = 100x

• y = 20x

• y = 20x + 100

• y = 100x + 20

What is the slope for the table below?

• 1/3

• 3/7

• 7/3

• 3

Which statement matches the graph?

• Taylor can write 6 words per minute

• Taylor can write 25 words per minute

• Taylor can write 50 words per minute

• Taylor can write 150 words per minute

What are the slope and y-intercept of the word problem?

• m=2 b=10

• m=10 b=2

• m=8 b=8

• m=12 b=12

Keith has $500 in a savings account at the beginning of the summer. He wants to have at least $200 at the end of the summer. He withdraws $25 per week for food, clothing, and movie tickets. Write a linear inequality to represent the situation.

• 500 - 25w ≥ 200

• 500 - 25w ≤ 200

• 200 - 25w > 500

• 200 - 25w < 500

A taxi charges a flat rate of $1.75, plus an additional $0.65 per mile. If Erica has at most $10 to spend on the cab ride, how far could she travel?

• 1.75m + 0.65 ≥ 10

• 1.75m + 0.65 > 10

• 1.75 + 0.65m ≤ 10

• 1.75 + 0.65m < 10

Chris wants to order DVD's online. Each DVD costs $15.99 and shipping the entire order costs $9.99. If he can spend no more than $100, how many DVD's could he buy?

• 15.99d + 9.99 < 100

• 15.99d + 9.99 ≤ 100

• 15.99 + 9.99d < 100

• 15.99 + 9.99d ≤ 100

Pet Supplies makes a profit of $5.50 per bag on its line of natural dog food. If the store wants to make a profit of no less than $5225, how many bags of dog food does it need to sell?

• 5.50b < 5225

• 5.50b ≤ 5225

• 5.50b > 5225

• 5.50b ≥ 5225

Ryan is a wrestler trying to make weight. He currently weighs 200 lbs. If he cuts 2 lbs. per week, how many weeks will it take him to weigh less than 175 lbs.?

• 200 - 2w < 175

• 200 - 2w ≤ 175

• 175 - 2w < 200

• 175 - 2w ≤ 200

Which company shows a greater rate of change?

• Water's Edge Rafts

• Ryan's Rafts