Linear Equation from Context

To prepare for a recent road trip, Jill filled up her 19-gallon tank. She estimates that her SUV will use about three gallons per hour. Write an equation to model the amount of gasoline, G, remaining in her tank after t hours.

• G=19 – 3t

• G=19 + 3t

• G=3 - 19t

• G=3 + 19t

Roberto deposits the same amount

of money each month into a checking

account. Use the table to write an

equation to model his balance, B,

after m months.

• B = 200 + 55m

• B = 200 - 55m

• B = 200m + 55

• B = 200m - 55

On a recent scuba diving trip, Kate and Kara reached a depth of 130 feet. Six-and- a-half minutes later after ascending at a constant rate, they reached the surface. Write an equation to represent their distance, D, as a function of time, t.

• D = 130 – 20t

• D = 130 + 20t

• D = 20 – 130t

• D = 20 + 130t

On a recent scuba diving trip, Kate and Kara reached a depth of 130 feet. Six-and- a-half minutes later after ascending at a constant rate, they reached the surface. Write an equation to represent their distance, D, as a function of time, t.

• D = 130 – 20t

• D = 130 + 20t

• D = 20 – 130t

• D = 20 + 130t

College tuition at Bedrock University has increased $500 per year for the past six years. Wilma is a freshmen this year and paid $10,250 for her tuition. She is curious about her tuition in the coming years and needs this information as motivation to graduate in four years. Assuming the tuition rate increase remains constant, write an equation to represent the tuition at Bedrock University in x years.

• T = 10,250 + 500t where t is time since your freshmen year

• T = 10,250 - 500t where t is time since your freshmen year

• T = 10,250t + 500 where t is time since your freshmen year

• T = 10,250t - 500 where t is time since your freshmen year

Rich is a member of a gym. He pays a monthly fee plus a per-visit fee. The equation below represents the monthly amount Rich pays for his membership to the gym per month for x visits.
y=3x+10
What does the y-intercept of the graph of this equation represent?

• The monthly fee
• How much Rich pays per visit
• The number of times Rich goes to the gym
• The total cost at the end of the month

The start up cost to join eTunes music is $7.95 plus $0.95 per song downloaded. If Will paid $26 last month, how many songs did he download?

• 32 songs

• 33 songs

• 19 songs

• 36 songs

You and your friends plan to attend the county fair this weekend.  Admission to the fair is $5 and the cost per ride is $0.50.  How many rides can you go on if you have $20?

• 20 rides
• 30 rides
• 40 rides
• 50 rides

The cost to rent a car at Joe's Clown Car Rental Agency, C(m), after m miles can be represented by the function

C(m)=0.75m +35. What does the value 35 represent in the problem?

• the cost per mile

• the total cost of renting the car

• the number of miles the car is driven

• the initial fee to rent the car

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