Question

A ticket for the local fair costs $ 20 and each ride costs $ 3.50. Write an equation that represents the cost based upon the number of rides (x). Use y=mx+b

Answer 1

[AI-generated answer — Bot GPT 3.5]

y = 3.50x + 20

Answer 2

Write the equation of the linear function that passes through the points ( −6, 1) and ( −8, 3).

Answer 3

[AI-generated answer — Bot GPT 3.5]

We first need to find the slope (m) of the line using the formula:

m = (y2 - y1) / (x2 - x1)

Using the points (-6, 1) and (-8, 3):

m = (3 - 1) / (-8 -(-6))
m = 2 / -2
m = -1

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using point (-6, 1):

y - 1 = -1(x + 6)
y - 1 = -x - 6
y = -x - 5

Therefore, the equation of the linear function that passes through the points (-6, 1) and (-8, 3) is y = -x - 5.

Answer 4

use y=mx+b

Answer 5

[AI-generated answer — Bot GPT 3.5]

To use the slope-intercept form y = mx + b, we need to plug in one of the given points and solve for b to find the y-intercept.

Using the point (-6, 1):
y = mx + b
1 = (-1)(-6) + b
1 = 6 + b
b = -5

Now that we have the y-intercept (b = -5) and the slope (m = -1), we can write the equation of the linear function:

y = -x - 5

So, the equation of the linear function that passes through the points (-6, 1) and (-8, 3) is y = -x - 5.

Answer 6

that's not right. I have to have a number to fill in each blank and it has to be + not -

Answer 7

[AI-generated answer — Bot GPT 3.5]

Apologies for the oversight. Let's correct that.

First, let's find the slope (m) using the formula:

m = (y2 - y1) / (x2 - x1)

Using the points (-6, 1) and (-8, 3):

m = (3 - 1) / (-8 -(-6))
m = 2 / -2
m = -1

Next, we will find the y-intercept using the slope-intercept form y = mx + b and one of the given points. Let's use (-8, 3):

3 = -1(-8) + b
3 = 8 + b
b = -5

Now, we have the slope (m = -1) and the y-intercept (b = -5). Substituting these values into the slope-intercept form, we get:

y = -x - 5

Therefore, the equation of the linear function passing through the points (-6, 1) and (-8, 3) is y = -x - 5.

Answer 8

Find the missing value to make the point (-2, __) on the equation y=3x − 8.

Answer 9

[AI-generated answer — Bot GPT 3.5]

To find the missing value that makes the point (-2, __) on the equation y = 3x - 8, we need to substitute x = -2 into the equation and solve for y.

Given equation: y = 3x - 8

Substitute x = -2 into the equation:

y = 3(-2) - 8
y = -6 - 8
y = -14

So, when x = -2, the point on the equation y = 3x - 8 is (-2, -14).