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Question 14 (1 point)

Listen
Troy burns four calories per minute while walking his dog. Write and equation to represent this proportional relationship.

Question 14 options:

y = -4x

y = 1/4x

Non-proportional

y = 4x

Question 15 (1 point)

Listen
Is the following proportional or non-proportional? If so what is the k value.
Hour:2,3,4,5
Temp:60,63,70,73

Question 15 options:

Proportional; k = -30

Proportional; k = 21

Non-proportional

Proportional; k = 30

Question 16 (1 point)

Listen
Is the table proportional or non-proportional?
x:-9,-8,-7,-6
y=13.5,12,10.5,9

Question 16 options:

Proportional

Non-proportional

Question 17 (1 point)

Listen
Is the following proportional or non-proportional? If so what is the k value.
pictures:40,60,80,100
album pages:10,15,20,25

Question 17 options:

Non-proportional

Proportional; k = -


Proportional; k =


Proportional; k = 4

Question 18 (1 point)

Listen
Gas costs $2.50 per gallon. Write and equation to represent this proportional relationship.

Question 18 options:

y = -2.50x

y = 2.50

Non-proportional

y = 2.50x

Question 19 (1 point)

Listen
Find the slope of the line between the two points.

(12, 7) and (5, 9)

Question 19 options:

Slope =7/2


Slope = -2/7


Slope = -7/2


Slope = 2/7


Question 20 (1 point)

Listen
Find the slope of the line that passes through the points given in the table.
x:-9,-3,0,9
y=-5,-3,-2,1

Question 20 options:

Slope = -3

Slope = 1/3


Slope = -1/3


Slope = 3

Question 21 (1 point)

Listen
Find the slope of the line that passes through the points given in the table.
x:-5,0,5,10
y=4,1,-2,-5

Question 21 options:

Slope = 5/3


Slope = 3/5


Slope = -3/5


Slope = -5/3

1 answer

Here are the answers to the questions provided:

Question 14

Troy burns four calories per minute while walking his dog. The equation representing this proportional relationship is:

  • Answer: y = 4x

Question 15

Given the values: Hours: 2, 3, 4, 5
Temp: 60, 63, 70, 73

To check if it is proportional, calculate the differences:

  • From 2 hours (60) to 3 hours (63) → increase of 3
  • From 3 hours (63) to 4 hours (70) → increase of 7
  • From 4 hours (70) to 5 hours (73) → increase of 3

Since the increases are not consistent, it is non-proportional.

  • Answer: Non-proportional

Question 16

Given the values: x: -9, -8, -7, -6
y: 13.5, 12, 10.5, 9

Check the ratios (y/x):

  • -9: 13.5/-9 = -1.5
  • -8: 12/-8 = -1.5
  • -7: 10.5/-7 = -1.5
  • -6: 9/-6 = -1.5

Each ratio is the same. Therefore, it is proportional.

  • Answer: Proportional

Question 17

Given the values: pictures: 40, 60, 80, 100
album pages: 10, 15, 20, 25

Compute the ratios:

  • 40 pictures: 10 pages → 10/40 = 1/4
  • 60 pictures: 15 pages → 15/60 = 1/4
  • 80 pictures: 20 pages → 20/80 = 1/4
  • 100 pictures: 25 pages → 25/100 = 1/4

All ratios are the same, so this is proportional with k-value 1/4 (or directly the proportion):

  • Answer: Proportional; k = 1/4

Question 18

Gas costs $2.50 per gallon. The equation is:

  • Answer: y = 2.50x

Question 19

To find the slope (m) between the points (12, 7) and (5, 9): m = (y2 - y1) / (x2 - x1)
m = (9 - 7) / (5 - 12) = 2 / -7 = -2/7

  • Answer: Slope = -2/7

Question 20

Given the table: x: -9, -3, 0, 9
y: -5, -3, -2, 1

Calculate the slope using two points, e.g., (-9, -5) and (9, 1): m = (1 - (-5)) / (9 - (-9)) = (6) / (18) = 1/3

  • Answer: Slope = 1/3

Question 21

Given the table: x: -5, 0, 5, 10
y: 4, 1, -2, -5

Calculate the slope using two points, e.g., (0, 1) and (5, -2): m = (-2 - 1) / (5 - 0) = (-3) / (5) = -3/5

  • Answer: Slope = -3/5

If you have any more questions or need further clarification, feel free to ask!