Linear Equations Word Problems

The local service center advertises that it charges a flat fee of $50 plus $8 per mile to tow a vehicle. Write an equation that represents the total cost (y) of a service for (x) miles of towing.

• y = 8 + 50

• y = 50x + 8

• y = 50 + 8

• y = 8x + 50

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

The local service center advertises a towing service. The cost of this service can be represented by the equation:

y = 8x + 50

Where x = number of miles towed and

y = total cost

What would be the total cost if you had your car towed 60 miles?

Tags

CCSS.HSF.LE.B.5

Mr. M has now officially entered two hotdog eating contests.

In the first contest, in 20 minutes he ate 10 hotdogs. In the second contest, in 10 minutes he ate 5 hotdogs. Find the rate of change (slope) between the two contests

• 1/2

• 2

• 10

• 5

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Given Mr. M eats 1/2 hotdogs per minute (slope) and knowing that in one contest after 20 minutes he ate 10 hotdogs, write an equation in point-slope form that represents this situation.

• y - 10 = 1/2(x - 20)

• y + 10 = 1/2(x + 20)

• y - 20 = 1/2(x - 10)

• y + 20 = 1/2(x + 10)

Mr. M is selling cookies and cakes so he can buy the new xbox. He is selling cookies for 2 dollars and cakes for 7. He plans to make $1000 (good luck brudda).

Set up an equation that represents the situation above

let x = cookies sold and y = cakes sold

Tags

CCSS.HSA.CED.A.3

Let the equation 2x + 7y = 1000 represents Mr. M's sales of cookies (x) and cakes (y) and his earning of $1000.

If he sold 100 cakes, how many cookies did he sell?

Tags

CCSS.HSF.LE.B.5

To buy a boat, you must make a down payment and then pay $300 per month. Six months after signing the lease, Will Ferrell has paid $3000.

From the word problem, identify the slope.

Tags

CCSS.8.EE.B.5

To buy a boat, you must make a down payment and then pay $300 per month. Six months after signing the lease, Will Ferrell has paid $3000.

From the word problem, write a point (x, y)

Tags

CCSS.6.EE.C.9

To buy a boat, you must make a down payment and then pay $300 per month. Six months after signing the lease, Will Ferrell has paid $3000.

From the word problem, find out how much Will Ferrell would have paid for his dad's new boat after 24 months.

Tags

CCSS.HSF.BF.A.2