Writing and Graphing Linear Equations in Real Life

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Write a linear equation to represent the total cost (C) in terms of miles driven (m).

• C = 50 + 0.50m

• C = 50 - 0.20m

• C = 0.20m

• C = 50 + 0.20m

If a bike rental shop charges $15 for the first hour and $5 for each additional hour, write a linear equation for the total cost (C) based on the number of hours (h) rented.

• C = 5h + 10

• C = 20 + 5h

• C = 15h

• C = 10h + 5

A store sells notebooks for $2 each and pens for $1 each. If a student buys 5 notebooks and 3 pens, write a linear equation to represent the total cost (C) in terms of notebooks (n) and pens (p).

• C = 3n + 2p

• C = n + 2p

• C = 5n + 3p

• C = 2n + p

Graph the equation C = 0.20m + 50. What does the y-intercept represent in this context?

• The y-intercept indicates the cost per item purchased.

• The y-intercept represents the fixed cost of $50 when no items are purchased.

• The y-intercept shows the total cost for purchasing 100 items.

• The y-intercept represents the variable cost when no items are purchased.

If a gardener can plant 10 trees in 2 hours, write a linear equation to represent the number of trees (t) planted in terms of hours (h) worked. What is the slope of this equation?

• The slope of the equation is 3.

• The slope of the equation is 5.

• The slope of the equation is 10.

• The slope of the equation is 2.

A delivery service charges a base fee of $10 plus $1.50 per mile. Write the linear equation for the total cost (C) based on miles (m) driven. How would you graph this equation?

• C = 10 + 1.5m

• C = 10 - 1.5m

• C = 1.5m + 5

• C = 10 + 2m

A school is selling tickets for a play. The first 50 tickets are $10 each, and after that, they are $8 each. Write a piecewise linear equation to represent the total cost (C) based on the number of tickets (t) sold.

• C(t) = { 12t, 0 <= t <= 50; 600 + 10(t - 50), t > 50 }

• C(t) = { 10t, 0 <= t <= 100; 800 + 5(t - 100), t > 100 }

• C(t) = { 15t, 0 <= t <= 50; 750 + 7(t - 50), t > 50 }

• C(t) = { 10t, 0 <= t <= 50; 500 + 8(t - 50), t > 50 }

If a person walks 3 miles in 1 hour, write a linear equation to represent the distance (d) walked in terms of time (t) in hours. How would you graph this equation?

• d = 3t

• d = 2t

• d = 4t

• d = 3t + 1

A phone plan costs $30 per month plus $0.10 per minute of calls. Write a linear equation for the total cost (C) based on the number of minutes (m) used. What does the slope represent?

• C = 30 + 0.05m; the slope represents the cost per minute of texts.

• C = 0.10m; the slope represents the fixed cost of the plan.

• C = 30 + 0.10m; the slope represents the cost per minute of calls.

• C = 30m + 0.10; the slope represents the total monthly cost.

A local gym charges a $50 membership fee plus $5 per class attended. Write a linear equation for the total cost (C) based on the number of classes (c) attended. How would you graph this equation?

• C = 50 + 5c

• C = 50 - 5c

• C = 50 + 10c

• C = 5c + 50