Quiz about Construct a Function to Model Linear Relationship

Question 1

How can you write the equation for a linear function if you know only two ordered pairs for the function?

Accepted Answer

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.

Answer

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.

Answer

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.

Answer

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.

Question 2

Write a function in the form y=mx+b for the line that passes through the points (2,4) and (6,16)

Accepted Answer

y = 3x - 2

Answer

y = 2x + 4

Answer

y = 6x + 16

Answer

y = 2x + 6

Question 3

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?

Accepted Answer

y = (5/18)x

Answer

y = (18/5)x

Answer

y = 5x + 18

Answer

y = 18x + 5

Question 4

Which of the following is in slope-intercept form?

Accepted Answer

y=10x-7

Answer

y-5=3(x-1)

Answer

5x-y=12

Answer

6x+2y-15=0

Question 5

Is this function linear or nonlinear?

Accepted Answer

Linear

Answer

Nonlinear

Question 6

Find the slope given the following points: (5,1) and (3,1)

Accepted Answer

m=0

Answer

m=1/4

Answer

m=1

Answer

m=undefined

Question 7

Lee charges $3 for a basket and $2.50 for each pound of fruit picked at the orchard. Write an equation in y = mx + b form for the total cost of x pounds of fruit from the orchard.

Accepted Answer

y = 2.50x + 3

Answer

y = 3x + 2.5

Answer

y = 2.50x

Answer

y = 3x + 2.50

Question 8

Which equation matches the table?

Accepted Answer

y = x + 5

Answer

y = 5x

Answer

y = x - 5

Answer

x = y - 5

Question 9

What is the slope?

Accepted Answer

2

Answer

1/2

Answer

7

Answer

3

Question 10

Which situation can be represented by
y = 17x - 8?

Accepted Answer

The cost, y, of buying Star Wars figurines at $17 each with an $8 discount.

Answer

The number of seeds, y, needed to feed 8 hamsters 17 seeds each.

Answer

The earnings from a lemonade stand, y, selling glasses at 17 dollars each with $8 in the tip jar.

Answer

The cost, y, of buying 17 movie tickets that sell for $8 each.

Question 11

Determine the equation of the line based on the graph.

Accepted Answer

y = -2x + 2

Answer

y = -2x + 1

Answer

y = -x + 2

Answer

y = 2x + 1

Question 12

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?

Accepted Answer

y = 1.5x + 3

Answer

y = -1.5x + 3

Answer

y = 1.5x - 3

Answer

y = -1.5x - 3

Question 13

What is the way to describe the rate of change?

Accepted Answer

Cost per number of units of electricity

Answer

Number of units of electricity per cost

Question 14

Give the y-intercept

Accepted Answer

(0,-2)

Answer

(2,0)

Answer

(0,2)

Answer

there is no y-intercept

Question 15

What is another name for the rate of change?

Accepted Answer

slope

Answer

y-intercept

Answer

independent variable

Answer

dependent variable

Question 16

What is another name for the initial value?

Accepted Answer

y-intercept

Answer

slope

Answer

independent variable

Answer

dependent variable

Question 17

What does "m" represent in y=mx+b?

Accepted Answer

slope

Answer

y-intercept

Answer

macaroni

Answer

nothing

Question 18

How would you write the equation with a rate of change of 2/3 and an initial value of -3

Accepted Answer

y=2/3x-3

Answer

y=3/2x+3

Answer

y=2/3-3

Answer

I don't have a clue

Question 19

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?

Accepted Answer

The amount of money Brandon earns for each pair of shoes he sells

Answer

The total pairs of shoes Brandon sells each day

Answer

The total amount of money Brandon earns each day

Answer

The amount of money Brandon earns each day, even if he sells no shoes

Question 20

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?

Accepted Answer

The distance the rower is from the dock when he began rowing.

Answer

The speed of the current

Answer

The speed of the rower/canoe

Answer

The average speed of the oar as it passes through the water

Question 21

Is the following equation proportional or non proportional:
y= 4x

Accepted Answer

Proportional

Answer

Non Proportional

Question 22

Is the following equation proportional or non proportional:
y= 4x - 5

Accepted Answer

Non Proportional

Answer

Proportional

Construct a Function to Model Linear Relationship

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