Question

use the points (60, 0) and (85, 30) to find the slope of this equation.

y= _ x - 72

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the slope of the equation, we need to compare the change in y values (vertical change) to the change in x values (horizontal change) between the two points (60, 0) and (85, 30).

First, we need to find the change in y:
Change in y = 30 - 0 = 30

Next, we need to find the change in x:
Change in x = 85 - 60 = 25

Now, we can calculate the slope using the formula:
Slope = Change in y / Change in x
Slope = 30 / 25
Slope = 1.2

Therefore, the slope of the equation y = 1.2x - 72 is 1.2.

Answer 2

based on the trend line, what is expected value of y when x=90?

Answer 3

[AI-generated answer — Bot GPT 3.5]

To find the expected value of y when x = 90, we first need to use the slope-intercept form of the equation to find the equation of the trend line.

Given the slope of the equation is 1.2, and one of the points on the trend line is (60, 0), we can find the y-intercept (b) as follows:

0 = 1.2(60) + b
0 = 72 + b
b = -72

Now that we have the slope (m = 1.2) and the y-intercept (b = -72), the equation of the trend line is:
y = 1.2x - 72

To find the expected value of y when x = 90, we substitute x = 90 into the equation:
y = 1.2(90) - 72
y = 108 - 72
y = 36

Therefore, the expected value of y when x = 90 is 36.

Answer 4

use the points (65, 205) and (69, 220) to find the slope of the equation. y=_x-49

Answer 5

[AI-generated answer — Bot GPT 3.5]

To find the slope of the equation using the given points (65, 205) and (69, 220), we first need to calculate the change in y values and change in x values between these two points.

First, let's find the change in y:
Change in y = 220 - 205 = 15

Next, let's find the change in x:
Change in x = 69 - 65 = 4

Now, we can calculate the slope using the formula:
Slope = Change in y / Change in x
Slope = 15 / 4
Slope = 3.75

Therefore, the slope of the equation y = 3.75x - 49 is 3.75.

Answer 6

based on the trend line, what is the expected value of y when x=74

Answer 7

[AI-generated answer — Bot GPT 3.5]

To find the expected value of y when x = 74 based on the trend line y = 3.75x - 49, we can substitute x = 74 into the equation and solve for y.

y = 3.75(74) - 49
y = 277.5 - 49
y = 228.5

Therefore, the expected value of y when x = 74 is 228.5.

Answer 8

the trend line is y=4.5x+26.5

using the equation, what is the expected height (in inches) if a student is 7 years old?

Answer 9

[AI-generated answer — Bot GPT 3.5]

To find the expected height of a student who is 7 years old based on the trend line y = 4.5x + 26.5, we substitute x = 7 into the equation and solve for y.

y = 4.5(7) + 26.5
y = 31.5 + 26.5
y = 58

Therefore, the expected height of a student who is 7 years old is 58 inches.

Answer 10

the trend line is y=29x-185

Using the equation, what is the expected sales if the temperature is 15 degrees?

Answer 11

[AI-generated answer — Bot GPT 3.5]

To find the expected sales if the temperature is 15 degrees based on the trend line y = 29x - 185, we substitute x = 15 into the equation and solve for y.

y = 29(15) - 185
y = 435 - 185
y = 250

Therefore, the expected sales if the temperature is 15 degrees is 250.