Creating Equations and Inequalities

Suppose that a bike rents for $4 plus $1.50 per hour. Write an equation in slope-intercept form that models this situation.

• y = 4x + 1.50

• y = 1.50x + 4

• y = -4x +1.50

• y = 4x - 1.50

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 canoe rental service charges a $20 transportation fee and $30 dollars an hour to rent a canoe. Write an equation representing the cost, y, of renting a canoe for x hours. What is the cost of renting the canoe for 6 hours?

• $200 for 6 hours

• $150 for 6 hours

• $300 for 6 hours

• $360 for 6 hours

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. In how many days will the water level be 26 feet?

• 16 days

• 15 days

• 10 days

• 9 days

Which of the following is the solution to the equation: 2x - 14 = 6

• -4

• 10

• 12

• 20

The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage.  If Juanita's monthly bill was $56.20, what is an equation that can be used to determine her total minutes (x)?

• 56.20 = 15 + 0.20x

• 56.20 =15 (0.20x)

• 56.20 = 15 + x + 0.20

• 56.20 = 0.20 + 15x

A cookie jar starts off with 32 cookies in it, and each day 2 cookies are eaten. After a certain number of days, there are 14 cookies left in the jar. Which of the following equations represents the day, d, when there are 14 cookies in the jar?

• 32 - 2d = 14

• 32 + 2d = 14

• (32/2)d = 14

• (2/32)d = 14

A city started out with a population of 67,255. The population has been increasing by 2935 people each year. Create a linear model for the population P, where t is in years. 

• P(t)=2935t+67255

• P(t)=67255t

• P(t)=2935t

• P(t)=2935+67255t

A pool starts out with 350 gallons of water. A hose is placed in the pool and the water is turned on. The hose adds 5.2 gallons of water per minute. Model the total amount, V, of water in the pool for x, the number of minutes the hose has been on.

• V(x)=5.2x+350

• V(x)=5.2x

• V(x)=350x-5.2

• V(x)=350x+5.2

After buying a jersey for $49, Scott has no more than $27 remaining. 
How much money did he have before he bought the jersey?

• x-49≤27; x≤76

• x-49≥27; x≥76

• x-49>27; x>76

• x-49<27; x<76