Exploring Linear Equations: Slope and Y-Intercept in Real Life

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Write the equation for the total cost based on miles driven. What is the slope and y-intercept of this equation?

• Slope: 50, Y-intercept: 0.20

• Slope: 0.20, Y-intercept: 0

• Slope: 0.20, Y-intercept: 50

• Slope: 0.50, Y-intercept: 50

Two friends, Alice and Bob, start a lemonade stand. Alice sells 10 cups for $15, and Bob sells 20 cups for $30. Write the equation representing their earnings based on the number of cups sold. What does the slope represent?

• E = 0.75c; the slope represents the total cups sold.

• E = 3c; the slope represents the cost per cup.

• E = 2c; the slope represents the total earnings.

• E = 1.5c; the slope represents the earnings per cup sold.

A bike shop sells bicycles at a price of $200 each. If they sell 5 bikes for $1,000, write the equation for the total sales based on the number of bikes sold. What is the y-intercept?

• $200

• $100

• 0

• $500

A gardener plants flowers in a straight line. If he plants 3 flowers at 2 feet apart, write the equation for the total distance based on the number of flowers planted. What does the slope indicate?

• D = n * 2

• D = (n + 1) * 2

• D = (n - 2) * 2

• D = (n - 1) * 2

A delivery service charges a base fee of $10 plus $1.50 per mile. Write the equation for the total charge based on miles driven. What is the slope and what does it represent?

• C(m) = 10 + 2m; Slope = 2 (charge per mile)

• C(m) = 5 + 1.5m; Slope = 1.5 (base fee)

• C(m) = 10 + 0.5m; Slope = 0.5 (discount per mile)

• C(m) = 10 + 1.5m; Slope = 1.5 (additional charge per mile)

A school is selling tickets for a play. If they sell 50 tickets for $200, write the equation for the total revenue based on the number of tickets sold. What is the y-intercept?

• 0

• 200

• 50

• 100

A gym charges a monthly fee of $30 plus $5 for each class attended. Write the equation for the total cost based on the number of classes attended. What does the slope represent in this context?

• C = 30 + 10n; the slope represents the total monthly fee.

• C = 30n + 5; the slope represents the total cost of classes.

• C = 30 + 5n; the slope represents the cost per class attended.

• C = 5n; the slope represents the number of classes attended.

A bookstore sells novels for $12 each. If they sell 15 novels for $180, write the equation for the total sales based on the number of novels sold. What is the slope and what does it indicate?

• S = 12n; slope = 0

• S = 12n; slope = 12

• S = 10n; slope = 10

• S = 15n; slope = 15

A taxi company charges a flat rate of $3 plus $2 per mile. Write the equation for the total fare based on miles traveled. What does the y-intercept represent?

• The equation is y = 2x; the y-intercept represents the cost per mile.

• The equation is y = 3x + 2; the y-intercept represents the total fare after 1 mile.

• The equation is y = 5 + 2x; the y-intercept represents the initial charge for the first mile.

• The equation is y = 3 + 2x; the y-intercept represents the flat rate charge of $3.

A concert venue sells tickets for $50 each. If they sell 100 tickets for $5,000, write the equation for the total revenue based on the number of tickets sold. What is the slope and what does it signify?

• R = 25x; slope = 50

• R = 50x; slope = 25

• R = 100x; slope = 100

• R = 50x; slope = 50