Interpret the initial value
Interpret the Slope
Find slope from equation
Linear Equation Word Problems 1
Linear Equation Word Problems 2
100

Aaliyah is going to the fair.  The cost is modeled by

C=1.50r + 12, where C is the cost and r is the number of rides.


Interpret the y-intercept.

It costs $12 for admission

$12 flat fee to get in.

100

If Sandra is saving money.  The equation 

S=5w + 50, where S is the amount of money in her savings acount and w is the number of weeks.


Interpre the slope

Sandra is saving $5 per week.

100

what is the slope?

2y = 4x +8

What is 2

100

An equation that shows the total amount of money (t) that will be in the account after m months for the following - Javier has $2,500 in his bank account. Every month he withdraws (spends) $150. He does not add money to the account.

t = -150m + 2500

100

A plumber charges $50 for a service call plus $30 per hour of service. Cost if it takes him 4 hours to fix your kitchen sink.

What is $170?

200

Dallas is going to going bowling with his friends. He needs to rent shoes as well as pay for the games  The cost is represented by C = 3g + 4.  C is the cost and g is the number of games.

Interpret the y-intercept

It costs $4 to rent shoes.

200

Dallas is going to going bowling with his friends.  The cost is represented by C = 3g + 4.  C is the cost and g is the number of games.

Interpret the slope.

It costs $3 per game.

200

What is the y-intercept

2y=4x + 8

What is 4

200

Mr. Thompson is on a diet. He currently weighs 260 pounds. He loses 4 pounds per month. The equation that represents is

What is w = -4m + 260  ?

200

Brianna has a business making birthday gift baskets. She estimates that her monthly costs for rental of a small storage unit, and advertising, and electricity are $280.  The cost of the ingredients for one basket, as well as the cost of the basket, total $16. Total costs this month if she sold 20 baskets.

What is $600?

300

Muhammad is letting water out of the bathtub.  This situation is  modeled by the equation

W = 20-2m, W is the number of gallons of water in the tub and m is the number of minutes. 

Interpret the y-intercept.

There were 20 gallons of water in the bathtub to start.

300

Muhammad is letting water out of the bathtub.  This situation is  modeled by the equation

W = 20-2m, W is the number of gallons of water in the tub and m is the number of minutes. 

Interpret the slope

Draining (losing) 2 gallons of water per minute

300

What is the slope-intercept form of

4y = 3x + 12

What is y=(3/4)x+ 3

300

A water tank contains 105 gallons of water when Baxter begins to drain it.  Water flows out of the tank at a rate of 8 gallons per minute.  Write a linear equation in slope-intercept form that represents the volume of water, v, after m minutes.

v = -8m + 105

300

Jose inherited a bank account form his grandmother that had a balance of $2,300. He withdrew $320 per month to pay his car loan, but did not withdraw anything else, or deposit anything into this account. Identify a linear model for this situation. (variable letters don't matter)

b = -320m + 2300

400

If Sandra is saving money.  The equation 

S=5w + 50, where S is the amount of money in her savings acount and w is the number of weeks.


Interpre they-intercept

sandra already has $50 saved.

400

Zeek is working as a waiter.  His earnings can be represented by

E= 15h + 60 , E is his earnings and h is the number of hours worked.

Interpret the rate of change.

Zeek makes $15 per hour.

400

what is the slope intercept form of

3y -15 = 6x

What isy = 2x + 5

400

Betsy budgeted $350 to buy school supplies for her classes this school year, out of her own money, and due to the budget crisis problems she is spending $75 per month on school supplies. Write an equation in slope-intercept form representing the balance of her budget, b, as a function of the amount she is spending per month, m.

b = -75m + 350

400

Your business of selling a particular product has fixed startup costs, f, of $5,000 and variable costs of $7.25 per product item, p. The linear model for this business.

What is c = 7.25p + 5,000

500

A go-kart rental company has a sign to display the cost of renting a go-kart.

1 hour -->30

2 hours -->40

3 hours-->50

Interpret the y-intercept

There is a $20 flat fee ( registration fee)

one-time charge

500

A go-kart rental company has a sign to display the cost of renting a go-kart.

1 hour -->30

2 hours -->40

3 hours-->50

Interpret the slope.

It costs $10 per hour.

500

what is the slope-intercept form

2y +3x = 10

what is y=(-3/2)x + 5

500

Tim buys a new computer for his office for $1200. For tax purposes, he declares a linear depreciation (loss of value) of $200 per year. Write a linear model representing the value, v, of his computer as a function of the amount it depreciates each year, y.

v = -200y + 1200

500

Business with a variable cost of $6.50 per item sold and a monthly budget of fixed costs or $790. Linear model for the total monthly costs of the business. (Variable letters don't matter)

c = 6.5i + 790