Finding Equations from Multiple Representations

To rent a bike, Max pays a flat rate plus an hourly rental fee. The graph shows the amount, C dollars, he pays based on the number of hours, t, he uses the bike. What equations best represent the data in the graph?

• y=2.5x+5

• y=5x+2.5

• y=7.5x

• y=5+2.5x

A cab company charges a $3 boarding rate in addition to its meter which is $2 for every mile. What equation(s) represent the rate of this company?

• y=3+2x

• y=2x+3

• y=3x+2

• y=5x

A bank charges $3 each time you use an out-of-network ATM. At the beginning of the month, you have $1500 in your bank account. What equation best represents the relationships between the account balance and the number of transaction in an out-of-network ATM?

• y=1500-3x

• y=1500+3x

You have $100 in your savings account and plan to deposit $12.50 each month. Write an equation in slope-intercept form that can be used to determine the y, amount of money that will be in the account after x, months. Click on all that apply.

• y=12.50x+100

• y=100x+12.50

• y=100+12.50x

• y=12.50+100x

You want to ship math textbooks from Singapore. They cost 80 dollars each, plus 30 dollars total for shipping. Write an equation that can be used to determine y, the total cost, for x, number of textbooks.

• y=-80x+30

• y=80x+30

• y=30x+80

• y=-30x+80

A skydiver parachutes to the ground. The height y (in feet) of the skydiver after x seconds is y = −10x + 3000. Interpret the meaning of the slope and the y-intercept.

• the skydiver falls at a rate of 10 feet per second from an original height of 3000 feet

• the skydiver falls at a rate of 3000 feet per second from a height of 10 feet

• the skydiver rises 10 feet per second after starting from a height of 3000 feet.

The graph shows the cost, C, of renting a concert hall for t hours. What function best represents the relationship shown in the graph?

• y=75x+100

• y=100x+75

• y=-75x+100

• y=75x-100

The graph shows the cost in dollars a traveler must pay when using the turnpike on Interstate 90 based on the number of miles driven. What is the equation that best represents the data in the graph?

• y=0.075x

• y=90x+0.075

• y=0.075x+90

• y=-0.075x

The graph shows the height of a helicopter based on how many seconds pass. What is the equation that best represents the data in the graph?

• y=-5x+35

• y=5x+-35

• y=35x+-5

• y=-35x+5

Mr. Ruiz is training for a swimming competition. The table below shows the number of laps done and the length of time in seconds it takes him to complete the laps. Which equation best represents y, the total number of seconds it will take Mr. Ruiz to do x laps?

• y=129.50x+-50

• y=129.50x+50

• y=50x+129.50

• y=50x+-129.50