Linear Word Problem Equation

The start up cost to join eTunes music is $7.95 plus $0.95 per song downloaded.  Write a linear equation that could be used to find how many songs he downloaded.

• y = 0.95x + 7.95

• y = 7.95x + 0.95

• y = 0.95x - 7.95

• y = - 0.95x + 7.95

You are riding in a hot air balloon. After 1 minute, you are 200 feet above the ground. After 4 minutes, you are 800 feet above the ground. Write and solve a linear equation to determine the height of the balloon after 5 minutes.

• 1,500 feet above the ground

• 1,000 feet above the ground

• 1,150 feet above the ground

• 975 feet above the ground

A construction company charges $15 per hour for debris removal, plus a one-time fee for the use of a trash dumpster. The total fee for 9 hours of service is $195. Write and solve a linear equation to find the one-time fee for the use of a trash dumpster.

• $200

• $50

• $60

• $330

In order to join an online learning community, there is a $20 startup fee and a $5 monthly fee. Write an equation in slope-intercept form that models this situation.

• y = 20x + 5

• y = 5x +20

• y=-5x + 20

• y = 5x - 20

Taxi company A charges $8.00 to get into the cab and $0.75 per mile. Taxi company B charges $6.00 to get into a cab and $1.25 per mile. How many miles would the cost be the same for both companies?

• 2 miles 

• 4 miles

• 0.50 mile

• -4 miles 

Tags

8.17

A rental car agency charges $30.00 per day plus per mile $0.15. Another rental car agency charges $36.00 per day plus $0.10 per mile. How many miles would have to be driven in one day for both rental agencies to cost the same amount to rent?

• 120 miles

• 100 miles

• 110 miles

• 150 miles 

Tags

8.17

Taxi company A charges $8.00 to get into the cab and $0.75 per mile. Taxi company B charges $6.00 to get into a cab and $1.25 per mile. How many miles would the cost be the same for both companies?

• 2 miles 

• 4 miles

• 0.50 mile

• -4 miles 

Tags

8.17

A sum of Rs.2700 is to be given in the form of 63 prizes. If the prize is of either Rs.100 or Rs.25, find the number of prizes of each type.

• number of prizes worth Rs. 1oo is 15 and the number of prizes worth Rs. 25 is 48.

• number of prizes worth Rs. 1oo is 10 and the number of prizes worth Rs. 25 is 53.

• number of prizes worth Rs. 1oo is 12 and the number of prizes worth Rs. 25 is 51.

• number of prizes worth Rs. 1oo is 16 and the number of prizes worth Rs. 25 is 47.

The difference between two whole numbers is 66.The ratio of two numbers is 2:5.What is the sum of two numbers?

• 154

• 144

• 164

• 146

Madison streams netflix (x) for $10.99 a month and spotify (y) for $5.99 a month. If she spent $96.88 total and had netflix for 5 months, how many months did she have spotify?

• 4 months

• 7 months

• 6 months

• 2 months