Graphing Word Problems: Solve and Interpret Solutions

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Write the equation in standard form and graph it. How much would it cost to drive 100 miles?

• $90

• $100

• $50

• $70

A local gym has a membership fee of $30 and charges $5 per class attended. Write the equation in standard form and graph it. If a member attends 10 classes, what is the total cost?

• $50

• $60

• $80

• $100

A farmer sells apples for $2 each and oranges for $3 each. If he wants to make at least $60, write the inequality in standard form and graph it. How many apples and oranges can he sell to meet his goal?

• The farmer can sell any combination of apples and oranges that satisfies the inequality 2x + 3y ≥ 60, such as (30, 0), (0, 20), or (15, 10).

• The inequality is 2x + 3y ≤ 60.

• Selling 10 apples and 15 oranges does not meet the goal.

• The farmer can only sell 20 apples and 0 oranges.

A bakery sells cupcakes for $3 each and cookies for $2 each. If they want to make at least $100, write the inequality in standard form and graph it. What combinations of cupcakes and cookies can they sell?

• The combinations must include at least 50 cookies.

• The inequality is 3x + 2y ≥ 100, and the combinations of cupcakes (x) and cookies (y) can be any non-negative integers that satisfy this inequality.

• The inequality is 2x + 3y ≤ 100

• The inequality is 4x + y ≥ 100

A taxi company charges a base fare of $3 plus $2 per mile. Write the equation in standard form and graph it. How much would a ride cost for 5 miles?

• $15

• $20

• $13

• $10

A bookstore sells novels for $10 and magazines for $5. If they want to earn at least $200, write the inequality in standard form and graph it. What combinations of novels and magazines can they sell?

• x + 2y ≥ 30

• 3x + y ≥ 50

• 2x + y ≤ 40

• 2x + y ≥ 40

A pizza shop sells large pizzas for $12 and small pizzas for $8. If they want to make at least $150, write the inequality in standard form and graph it. How many large and small pizzas can they sell?

• The inequality is 12x + 8y = 150.

• They can only sell small pizzas to meet the goal.

• The inequality in standard form is 8x + 12y ≤ 150.

• The inequality in standard form is 12x + 8y ≥ 150. Possible combinations of large and small pizzas can be found by solving this inequality.

A landscaping company charges a flat fee of $100 plus $25 per hour of work. Write the equation in standard form and graph it. How much would it cost for 4 hours of work?

• $200

• $175

• $150

• $225