Real-Life Linear Equations: Intercepts & Solutions Quiz

A car rental company charges a flat fee of $50 plus $20 for each day the car is rented. Write the equation for the total cost, and determine the y-intercept. What does it represent?

• C = 20d; y-intercept = 0, representing no cost for the first day.

• C = 50 + 20d; y-intercept = 50, representing the initial flat fee.

• C = 50 + 10d; y-intercept = 50, representing a discount on the flat fee.

• C = 50 + 30d; y-intercept = 30, representing an additional fee for insurance.

Tags

CCSS.HSF.LE.B.5

A local bakery sells cupcakes for $3 each and cookies for $2 each. If a customer spends $30, write an equation to represent the total number of items bought. Find the x-intercept and y-intercept of this equation.

• x-intercept: 12, y-intercept: 8

• x-intercept: 15, y-intercept: 10

• x-intercept: 5, y-intercept: 20

• x-intercept: 10, y-intercept: 15

Tags

CCSS.HSF-IF.C.7A

A school is planning a field trip and has a budget of $500. The cost per student is $25. Write an equation for the total cost and determine the x-intercept. What does it signify in this context?

• The x-intercept is 25, meaning the school can afford 25 students.

• The x-intercept is 0, signifying that no students means no cost.

• The x-intercept is 10, which signifies a cost of $250 for 10 students.

• The x-intercept is 20, indicating a cost of $500 for 20 students.

A gym charges a monthly fee of $40 plus $5 for each class attended. Write the equation for the total monthly cost and find the y-intercept. What does it indicate?

• C = 40 + 10x; y-intercept = 10, indicating the total cost of classes.

• C = 30 + 5x; y-intercept = 30, indicating a discount on the base fee.

• C = 50 + 5x; y-intercept = 50, indicating an additional service charge.

• C = 40 + 5x; y-intercept = 40, indicating the base fee.

Tags

CCSS.HSF.LE.B.5

A farmer sells apples for $1.50 per pound and oranges for $2.00 per pound. If he sells a total of 100 pounds of fruit for $180, write a system of equations to represent this situation and analyze the solutions.

• x = 30, y = 70

• x = 50, y = 50

• x = 40, y = 60

• x = 20, y = 80

Tags

CCSS.8.EE.C.8C

A concert venue has a seating capacity of 2000. If tickets are sold for $50 each, write an equation for the total revenue. Determine the x-intercept and explain its meaning in this scenario.

• The x-intercept is 2000, meaning all tickets are sold and revenue is maximized.

• The x-intercept is -50, suggesting a loss of $50 if tickets are not sold.

• The x-intercept is 50, indicating the revenue is $50 when one ticket is sold.

• The x-intercept is 0, meaning if no tickets are sold, the revenue is $0.

Tags

CCSS.HSF.LE.B.5

A taxi company charges a base fare of $3 plus $2 for each mile driven. Write the equation for the total fare and find the y-intercept. What does it represent?

• The equation is F = 2 + 3m; the y-intercept is 2, representing the cost per mile.

• The equation is F = 5 + 2m; the y-intercept is 5, representing the total fare after one mile.

• The equation is F = 3 + 2m; the y-intercept is 3, representing the base fare.

• The equation is F = 3m; the y-intercept is 0, representing no base fare.

Tags

CCSS.HSF.LE.B.5

A bookstore sells novels for $10 and magazines for $5. If a customer spends $60, write an equation to represent the total number of items bought. Find the intercepts and explain their significance.

• The equation is 10x + 5y = 60. The intercepts are (0, 12) and (6, 0).

• The equation is 5x + 10y = 60. The intercepts are (0, 6) and (12, 0).

• The equation is 10x + 10y = 60. The intercepts are (0, 6) and (6, 0).

• The equation is 15x + 3y = 60. The intercepts are (0, 20) and (4, 0).

Tags

CCSS.HSF-IF.C.7A

A local pool charges a $15 entry fee and $5 for each hour spent. Write the equation for the total cost and determine the x-intercept. What does it indicate about the time spent?

• The x-intercept is -5 hours, indicating a refund for unused time.

• The x-intercept is 3 hours, indicating a discount for early entry.

• The x-intercept is -3 hours, indicating that no time spent is not feasible.

• The x-intercept is 0 hours, indicating a free entry.

A charity event sells tickets for $25 each and has a goal of raising $2000. Write an equation to represent the total amount raised and find the y-intercept. What does it represent in this context?

• The y-intercept is 25, representing the price of one ticket.

• The y-intercept is 2000, representing the total goal amount.

• The y-intercept is 80, representing the number of tickets needed to reach the goal.

• The y-intercept is 0, representing no money raised when no tickets are sold.

Tags

CCSS.HSF-IF.C.7A