Linear Relationships in Word Problems

Melissa rented a Segway, a stand up scooter, in downtown Austin, Tx. The store charges a $3.25 initial charge plus $2.50 per mile.

Which equation can be used to find y, the total cost of the rental, if x represents the number of miles Melissa rode on the Segway?

• y=2.50x +3.25

• y=3.25x +2.50

• y=3.25(x+2.50)

• y=2.50x − 3.25

A construction company is building a new office building with x floors that will have a roof that is 35 feet tall. Each floor of the building will be 10.5 feet high.

Which equation can be used to find the total height of the office building, y, with x floors and the roof?

• y=35x+10.5

• y=10.5x+35

• y=10.5(x+35)

• y=35(x+10.5)

One wedding cake design has a base layer that is 5 inches tall, and each additional layer is 3 inches tall. Use h to represent the height of this cake and t to represent the number of additional layers.

Which algebraic rule gives the height of a wedding cake made in this design?

• t=3+5h

• t=5+3h

• h=3+5t

• h=5+3t

Riley went to the farmer's market to buy some fruit. Apples cost $4.50 per pound and bananas cost $0.48 per pound. She is buying 8 pounds of bananas and x apples. Which equation can be used to find y, the total price Riley must pay in dollars?

• y=4.5x+3.84

• y=36x+0.48

• y=0.48x + 36

• y=3.84x+12

Josef gets an allowance of $10 per week. If he does chores, his parents give him an additional $3 per hour for every hour of work.

Which algebraic rule can Josef use to find m, the amount of money he will have after a week of doing x additional hours of chores?

• m=10+3x

• m=13x

• m=3+10x

• m=10x

An electronics store sells used movies for $12 each. New movies sell for $25 each. Madison is buying 4 used movies and x new movies. Which equation can be used to find y, the total price Madison must pay in dollars?

• y=48x + 25

• y= 25x + 48

• y=12x+100

• y= 100x + 12

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

Preston bought a gym membership with a registration fee of $21 and an additional $5 per month.

Which equation shows the relationship between y, the total cost, of x months?

• y = 5x

• y = 21x + 5

• y = 5x + 21

• y = 26x

Tags

7.7a

linear relationships

slope

y-intercept

A cab ride cost an initial fee of $3.00 plus an additional $0.25 per mile. Which equation shows the relationship between y, the total cost, for x miles.

• y = 3x + 0.25

• y = 3.25x

• y = 0.25x

• y = 0.25x + 3

Tags

7.7a

linear relationships

slope

y-intercept

A man is climbing down from 100 feet high descending 30 feet per minute.

• y = 100 - 30x
• y = 100 + 30x
• y = 100x + 30
• y = 100x - 30