Linear and Exponential Word Problems

The amusement park charges $20 to get in plus $1.50 per ride. Which linear equation below represents this relationship.

• y=1.5+20x

• y=1.5x + 20

• y = 20x + 1.5

• y= 21.5x

The total cost (y) at an amusement park can be modeled by y=1.5x+20 where x is the number of rides you ride plus and entrance fee. What is the entrance fee?

• 1.5

• 200

• 0

• 20

The total cost (y) at an amusement park can be modeled by y=1.5x+20 where x is the number of rides you ride. What is the price to ride 10 rides?

• $35

• $21.5

• $30

• $30.50

The price p of an ice cream is $3.95 plus $0.85 for each topping t on the ice cream. Write and equation to model this situation.

• p = 0.85t - 3.95

• p = 0.85t + 3.95

• p = 3.95t + 0.85

• t = 0.85p + 3.95

A football team averages 4.5 yards/play. They start a drive on their own 20 yard line. Write a function that tells how far d from their own goal line they will be as a function of plays p.

• d= 4.5p - 20

• p=4.5d + 20

• p= 4.5d - 20

• d= 4.5p + 20

At Joe's Clown Car Rental Agency, renting a car costs $35 plus $0.75 for every mile it is driven. Write a linear equation to model this situation.

• y = x(35 + 0.75)

• y = 35x + 0.75

• y = 0.75x + 35

• y = 0.75(x + 35)

The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage.  If Juanita uses x minutes of airtime, what is an equation that can be used to determine her monthly cell phone bill (C)?

• C = 0.20x + 15
• C =15 (0.20x)
• C = 15 + x + 0.20
• C = 0.20 + 15x

The commission of a sales representative can be modeled by C(x) = 4x - 10, where x is the number of items sold.  If the sales representative sales 30 items, how much commission will they earn?

• $20
• $120
• $5
• $110

The drama club sold tickets to a play for $5 each.  They also made $55 in soda and popcorn sales.  If the drama club made a total of $290, how many tickets were sold?

• 47
• 58
• 69
• 113

If the number of bacteria in a colony doubles every 16 hours and there is currently a population of 3,000 bacteria, what will the population be 32 hours from now?

• 12,000 Bacteria
• 1.2 x 10¹³  Bacteria
• 196,608,000 Bacteria
• 6000 Bacteria