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Creating Equations From Problems
Test Description: Y = mx + b
Instructions: Answer all questions to get your test result.
1) 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, y, after x days
A
y = 0.5x
B
y = -0.5x +34
C
y =0.5x + 34
D
y = 34x - 0.5
2) For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost, y, after x hours of babysitting.
A
y = -5x + 3
B
y = 5x
C
y = 3x + 5
D
y = 5x + 3
3) A plumber charges $25 for a service call plus $50 per hour of service. Write an equation in slope-intercept form for the cost, y, after x hours of service.
A
y =25x + 50
B
y = -50x + 25
C
y = 50x - 25
D
y = 50x + 25
4) Rufus collected 100 pounds of aluminum cans to recycle. He plans to collect an additional 25 pounds each week. Write and graph the equation for the total pounds, y, of aluminum cans after x weeks.
A
y = 100x + 25
B
y = 25 + 100
C
y = -25x + 100
D
y = 25x + 100
5) A canoe rental service charges a $20 transportation fee and $30 dollars an hour to rent a canoe. Write and graph an equation representing the cost, y, of renting a canoe for x hours
A
y = 30x
B
y = 20x + 30
C
y = -30x + 20
D
y = 30x + 20
6) An attorney charges a fixed fee on $250 for an initial meeting and $150 per hour for all hours worked after that. Write an equation in slope-intercept form.
A
y = 150x + 250
B
y = -150x + 250
C
y = 250x + 150
D
y = 150 + 250
7) A water tank already contains 55 gallons of water when Baxter begins to fill it. Water flows into the tank at a rate of 8 gallons per minute. Write a linear equation to model how much of the tank that still needs to be filled.
A
y = -8x
B
y = -8x + 55
C
y = 55 - 8
D
y = 8x + 55
8) A video rental store charges a $20 membership fee and $2.50 for each video rented. Write and graph a linear equation (y=mx+b) to model this situation.
A
y = 2.50x + 20
B
y = -2.50x + 20
C
y = 2.50 + 20
D
y = 2.50x - 20
9) To check out a customer, a grocery store cashier needs 2 seconds to scan each item being purchased, as well as 30 seconds to process payment. Write an equation that shows how the total time in seconds.
A
y = 2x + 30
B
y = -2x + 30
C
y = 2 + 30
D
y = 2x - 30
10) For her grandfather's birthday, Valeria is baking cupcakes. With every egg she can find, she can bake 6 cupcakes. Write an equation that shows how the total number of cupcakes Valeria can bake per egg.
A
y = -6x
B
y = 6x
C
y = -6x - 6
D
y = 6x - 6
*select an answer for all questions
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