Linear Word Problems All 4 Types

 In order to join an online learning community, there is a $20 startup fee and a $5 monthly fee. Write an equation in slope-intercept form that models this situation.

• y = 20x + 5
• y = 5x +20

Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot per day. Write an equation for the water level, L, after d days.

• L = -0.5d + 34

• L = 34d - 0.5

• L = 0.5 d + 34

For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost, C, after h hours of babysitting.

• C = 5h + 3

• C = 3h + 5

The function below shows the cost of a hamburger with a different numbers of toppings (x).

y = 1.40x + 1.90

What does the slope mean in the context of the problem?

• The cost will increase by $1.40 per topping

• The cost will decrease by $1.40 per topping

• The cost will increase by $1.90 per topping

• The cost will decrease by $1.90 per topping

In order to join a dancing club, there is a $30 startup fee and a $4 monthly fee. Write an equation in slope-intercept form that models this situation.  After how many months will the total cost be $58?

• 7 months
• 6 months
• 5 months 
• 4 months

A large one-topping pizza costs $8.99. Additional toppings are $0.49 each. How much would a pizza cost, c, if there are t additional toppings?

• c = 0.49t + 8.99
• c = 0.49t - 8.99
• c = -0.49 + 8.99
• c = -0.49 - 8.99

A tank contains 55 gallons of water. Water leaks out at a rate of 8 gallons per minute. How much water, w, is remaining in the tank after m minutes?

• w = 8m - 55
• w = 8m + 55
• w = -8m + 55
• w = -8m - 55

In order to join a yoga club there is a $100 annual fee and a $5 fee for each class you attend. Write an equation in slope-intercept form that models this situation.  After how many classes will the total cost be $200?

• 20 classes
• 15 classes
• 10 classes
• 200 classes

A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?

• y=15x
• y=15x+80
• y=x+15
• y=80x+15

Which of the following situations could be described by the equation

y= -25x + 120

• There are 120 people in the football stadium, and 25 more are entering each hour.

• A plumber charges $25 for a house call and $120 per hour.

• A teacher has 120 students. Her third period has 25 students

• There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute