Finding Equations and Intersections in Real-Life Scenarios

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. Another company charges $20 plus $0.25 per mile. Write the equations in slope-intercept form and determine how many miles you would need to drive for both companies to charge the same amount.

• 150 miles

• 100 miles

• 250 miles

• 200 miles

A local bakery sells cupcakes for $2 each and cookies for $1.50 each. If a customer spends $15, write the equation representing the total number of cupcakes and cookies bought. How many of each could they buy if they bought 5 cupcakes?

• 3 cupcakes and 8 cookies

• 5 cupcakes and 3 cookies

• 4 cupcakes and 6 cookies

• 6 cupcakes and 1 cookie

Two friends are saving money for a concert. Friend A saves $5 a week, while Friend B saves $8 a week. If Friend A starts with $20 and Friend B starts with $10, write the equations in slope-intercept form and determine after how many weeks they will have the same amount saved.

• 2 weeks

• 5 weeks

• 4 weeks

• 3 weeks

A gardener is planting flowers in two different sections of a garden. In section A, he plants 3 flowers for every 2 shrubs. In section B, he plants 4 flowers for every shrub. Write the equations in slope-intercept form and find out how many flowers and shrubs he needs to plant to have the same number of each in both sections.

• 8 flowers, 6 shrubs; 8 flowers, 2 shrubs

• 15 flowers, 10 shrubs; 15 flowers, 5 shrubs

• 10 flowers, 5 shrubs; 10 flowers, 4 shrubs

• Section A: 12 flowers, 8 shrubs; Section B: 12 flowers, 3 shrubs

A phone company offers a plan that costs $40 per month plus $0.10 per text message. Another plan costs $30 per month plus $0.15 per text message. Write the equations in slope-intercept form and determine how many text messages would make both plans cost the same.

• 100

• 250

• 200

• 150

A bookstore sells novels for $12 each and textbooks for $20 each. If a customer buys 3 novels and 2 textbooks, write the equation for the total cost. How many novels could they buy if they only want to spend $60?

• 6 novels

• 3 novels

• 5 novels

• 4 novels

A gym charges a monthly fee of $25 plus $5 per class attended. Another gym charges a flat fee of $40 with no additional class fees. Write the equations in slope-intercept form and find out how many classes would make both gyms cost the same.

• 3

• 5

• 1

• 10

A pizza shop sells a large pizza for $15 and a medium pizza for $10. If a customer buys 2 large pizzas and 3 medium pizzas, write the equation for the total cost. How many medium pizzas could they buy if they only want to spend $50?

• 7

• 5

• 4

• 6

A farmer sells apples for $1.50 per pound and oranges for $2.00 per pound. If he sells a total of 20 pounds of fruit for $30, write the equations in slope-intercept form and determine how many pounds of each fruit he sold.

• 15 pounds of apples and 5 pounds of oranges

• 0 pounds of apples and 20 pounds of oranges

• 10 pounds of apples and 10 pounds of oranges

• 20 pounds of apples and 0 pounds of oranges