Mathematics Word Problems

A cell phone company charges $20 per month plus $0.10 per text message. The cost can be modeled by the equation: C = 0.10t + 20, where C is the total cost and t is the number of text messages sent. What does the slope represent?

• The cost of sending one text message

• The monthly fee

• The total cost for one month

• The number of text messages sent

A taxi company charges $3 for the initial fee plus $2 per mile. The cost can be modeled by the equation: C = 2m + 3, where C is the total fare and m is the number of miles traveled. What does the y-intercept represent?

• The cost per mile

• The total cost after 2 miles

• The initial fee

• The total fare for one mile

A water tank is being filled at a rate of 5 gallons per minute. The tank already contains 10 gallons of water. The water level can be modeled by the equation: W = 5t + 10, where W is the water level in gallons and t is time in minutes. What does the slope represent?

• The amount of water already in the tank

• The time it takes to fill the tank

• The rate of water being added per minute

• The total water after 10 minutes

A gym charges a $50 joining fee and $30 per month for membership. The cost can be modeled by the equation: C = 30m + 50, where C is the total cost and m is the number of months. What does the y-intercept represent?

• The cost per month

• The total cost after 5 months

• The joining fee

• The total cost after 1 month

A salesperson earns a base salary of $500 per week and an additional $50 for each sale made. The total earnings can be modeled by the equation: E = 50s + 500, where E is total earnings and s is the number of sales. What does the slope represent?

• The salesperson’s base salary

• The total earnings after 10 sales

• The earnings per sale

• The number of sales made

A coffee shop makes $3 per coffee sold, plus $50 per day from tips. The daily revenue can be modeled by the equation: R = 3c + 50, where R is the total revenue and c is the number of coffees sold. What does the y-intercept represent?

• The revenue for one coffee

• The daily revenue from tips

• The price per coffee

• The total revenue after selling 10 coffees

A car rental company charges $40 per day plus $0.20 per mile driven. The cost can be modeled by the equation: \( C = 0.20m + 40 \), where \( C \) is the total cost and \( m \) is the number of miles driven. What does the slope represent?

• The daily rental fee

• The cost per mile driven

• The total cost for driving 100 miles

• The total cost after 2 days

An internet provider charges $40 per month plus $5 per GB of data used. The cost can be modeled by the equation: \( C = 5d + 40 \), where \( C \) is the total cost and \( d \) is the number of GB of data used. What does the y-intercept represent?

• The cost per GB of data

• The total cost after using 5 GB of data

• The monthly base charge

• The total cost for using no data

A painter charges $100 for equipment and $20 per hour of work. The cost can be modeled by the equation: C = 20h + 100, where C is the total cost and h is the number of hours worked. What does the slope represent?

• The cost of equipment

• The hourly charge for painting

• The total cost after 5 hours

• The number of hours worked

A car uses 2 gallons of gas per hour, and the tank starts with 10 gallons of gas. The amount of gas remaining can be modeled by the equation: G = -2t + 10, where G is the number of gallons remaining and t is time in hours. What does the y-intercept represent?

• The gas used per hour

• The number of gallons in the tank initially

• The amount of gas remaining after 1 hour

• The total gas used after 5 hours