Constant Coefficient Linear Word Problems

Bennett and his friends decide to go bowling. The cost for the group is $15 for shoe rentals plus $4.00 per game. Which amount is constant (which amount won't change if you play 0 or 100 games)?

• Shoe rental
• Money spent playing games

The Ace Cell Co. charges a flat monthly fee of $22.00 for a cell line and $0.20 per gig of data. Which amount will change (which amount will have a different cost if you use 0 or 100 gigs)?

• Monthly fee
• Per gig charge

A pizza company charges a base of $4 for a pizza and $0.50 per additional topping. What value is the slope (which value changes)?

• Base pizza cost
• Per topping cost

Amazon prime charges $8.99 a month and an additional $4.99 to rent a new release. What value represents the y-intercept (the money you will always pay)?

• Monthly fee
• New release fee

Get Fit Fitness Club charges $10 a month and $1.50 per class. Identify the slope (what changes) and the y-intercept (what stays the same). 

• m = 10, b = 1.5
• m = 1.5, b = 10

A slope is 4 and the y intercept is 9. What is the equation representing the line in slope intercept form?

• y = 4x + 9
• y = 9x + 4
• x = 4y + 9
• x = 4 + 9y

1. A plant is 5cm tall and growing at a rate of 3cm a month. Identify the slope and y intercept.

• m = 5, b = 3
• m = 3, b = 5

1. A plant is 5cm tall and growing at a rate of 3cm a month. Use h for total height and m for month.

• h= 5 + 3 + m
• h = 5m + 3
• h = 3m + 5
• m = 3h + 5

Bob has $150 in his savings account and saves $40 per month. Let t be the total amount of money saved and m be the number of months. 

• m = 150 + 40 + t
• t = 40m + 150
• t = 150m + 40
• m = 40 + 150t

A holiday meal costs $12.50 a person plus a delivery fee of $30. Let t represent the total cost and p represent the number of people

• t = 30 + 12.5p 
• t = 12.5 + 30 + p
• p = 12.5 + 30t
• p = 12.5t + 30