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WorksheetsBuilding Linear Function
Total questions: 23
Worksheet time: 57mins
How can you write the equation for a linear function if you know only two ordered pairs for the function?
Use the two ordered pairs to find the slope (m). Then substitute the slope and one set of ordered pairs into y=mx+b to solve for b.
Use the two ordered pairs to find the y-intercept (b). Then substitute the y-intercept and one set of ordered pairs into y=mx+b to solve for m.
Use the two ordered pairs to find the value of y. Then substitute the the value of y and one set of ordered pairs into y=mx+b to solve for x.
Use the two ordered pairs to find the value of x. Then substitute the the value of x and one set of ordered pairs into y=mx+b to solve for y.
A line passes through the points (5, –7.5) and has a y-intercept 10.
Which is a linear function in the form of y = mx + b for this line?
y = 0.5x + 10
y = –1.5x + 10
y = –3.5x + 10
y = 10x – 3.5
Write a function in the form y=mx+b for the line that passes through the points (2,4) and (6,16)
y = 3x - 2
y = 2x + 4
y = 6x + 16
y = 2x + 6
Sierra is building a skateboard ramp.
She wants the ramp to have a height, h, of 15 inches and a base length, l, of 54 inches.
Which linear function models the situation?
y = (5/18)x
y = (18/5)x
y = 5x + 18
y = 18x + 5
y = 17x - 8?
The deli charges $7.50 for a salad weighing 3 pounds. A salad weighing 4 pounds costs $9.00. What equation can be used to represent the cost of the salad (y) , for the (x) pounds of salad?
y = 1.5x + 3
y = -1.5x + 3
y = 1.5x - 3
y = -1.5x - 3
Give the y-intercept
What is another name for the rate of change?
slope
y-intercept
independent variable
dependent variable
What is another name for the initial value?
slope
y-intercept
independent variable
dependent variable
How would you write the equation with a rate of change of 2/3 and an initial value of -3
y=3/2x+3
y=2/3-3
y=2/3x-3
I don't have a clue
Brandon works in a shoe store. His daily earnings, y, are represented by the equation y = 20x + 75 based on selling x pairs of shoes. What is represented by the slope in this equation?
The total pairs of shoes Brandon sells each day
The total amount of money Brandon earns each day
The amount of money Brandon earns for each pair of shoes he sells
The amount of money Brandon earns each day, even if he sells no shoes
The distance in miles, y, a rower in a canoe is from the dock after rowing x hours is represented by the equation y = 5x + 11. What does the y-intercept represent in this situation?
The speed of the current
The speed of the rower/canoe
The distance the rower is from the dock when he began rowing.
The average speed of the oar as it passes through the water
y= 4x
y= 4x - 5
