Real World Linear Problems

Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. Happy Hounds charges a flat fee of $21 plus $1 per hour. For how many hours is the total fee charged by the companies the same?

• 2 hours

• 3 hours

• 4 hours

• 5 hours

You bought a magazine for $8 and 6 erasers.  If you spent a total of $11, then how much did each eraser cost?

• $3.00

• $2.00

• $.50

• $.625

You decide to rent a bike for $25 plus $3.00 per hour.  If you spent a total of $40.00, how many hours did you rent the bike?

• 1 hour

• 4 hours

• 2 hours

• 5 hours

For a field trip, 13 students rode in cars and the rest filled seven buses.  How many students were in each bus if 251 students were on the trip?

• 231

• 5

• 65

• 34

The cost of airing a commercial on television is modeled by the function C(n)=110n+900, where n is the number of times the commercial is aired. Based on this model, which statement is true?

• The commercial costs $0 to produce and $110 per airing up to $900.

• The commercial costs $110 to produce and $900 each time it is aired.

• The commercial costs $900 to produce and $110 each time it is aired.

• The commercial costs $1010 to produce and can air an unlimited number of times.

Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.

• 3 hours

• 4 hours

• 1 hour

• 2 hours

Which equation would describe "two times a number plus five equals 15"?

• x + 5 = 15

• 2x + 5=15

• x + 2(5) = 15

• 2(x + 5) = 15

Find two consecutive integers whose sum is 45.

• 22, 23

• 21, 24

• 30, 15

• 22, 24

What three consecutive odd numbers have a sum of 369?

• 129

• 125, 127, 129

• 121, 123, 125

• 122, 123, 124

Three times a number is equal to 27. What equation represents this situation?