Question

Part A: Nadia rented a stage platform at $410 for 4 days. If she rents the same stage platform for 8 days, she has to pay a total rent of $770.

Write an equation in the standard form to represent the total rent (y) that Nadia has to pay for renting the stage platform for x days. (4 points)

Part B: Write the equation obtained in Part A using function notation.(2 points)

Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals. (4 points)

Answer 1

@micahm

Answer 2

is this one question or is their more in the paragraph

Answer 3

This One Question Part A B And C.

Answer 4

@Preetha

Answer 5

@undeadknight26

Answer 6

@iGreen

Answer 7

We can first find the slope, we are given two points:

(4, 410) and (8, 770)

Plug them in the slope formula:

\(m = \dfrac{y_2-y_1}{x_2-x_1}\)

\(m = \dfrac{770-410}{8-4}\)

Answer 8

Simplify that

Answer 9

Okay This For Part A Right?

Answer 10

Yep

Answer 11

To write an equation we need the slope, so can you simplify that?

Answer 12

I Got 360 And 4

Answer 13

Yes, now divide 360 / 4

Answer 14

90

Answer 15

Yes, so the slope is 90.

Answer 16

Now let's plug this in with one of the points into point-slope form.

\(y - y_1 = m(x - x_1)\)

Where \(y_1\) is the y-value of the point, \(x_1\) is the x-value of the point, and \(m\) is the slope.

So we have:

\(y - 410 = 90(x - 4)\)

Distribute 90 into the parenthesis:

\(y - 410 = 90x - 360\)

Add 410 to both sides, what's -360 + 410?

Answer 17

50

Answer 18

Yep, now we have:

\(y = 90x + 50\)

So that's our equation

Answer 19

And Thats All part a right . ? :)

Answer 20

Now let's change it to standard form.

y = 90x + 50

Standard form is Ax + By = C

So subtract 90x to both sides

Answer 21

No, that equation is in slope-intercept form, it's asking for the equation in Standard Form.

Answer 22

Oh Okay

Answer 23

-40?

Answer 24

No, we just subtract it to both sides..

y = 90x + 5

-90x + y = 5

So that's our equation in Standard Form

Answer 25

Now Wha Part We Working On Now :)?

Answer 26

We just finished Part A.

Answer 27

ok :)

Answer 28

Part B,

y = 90x + 5

Function notation is just replacing 'y' with 'f(x)', so what do you get?

Answer 29

f(x) = 90x+5

Answer 30

Yep, that takes care of Part B

Answer 31

For Part C,

The x-axis will be labeled 'days' and the y-axis 'total rent'.

Answer 32

Okay Now Part C && I Alos HAVE tROUBLES W. 3 MORE QUESTIONS BUT IF U CAN ILL GET TO THEM

Answer 33

It will have a slope of 90, and a y-intercept of 5.

Answer 34

Thats It?

Answer 35

Yep

Answer 36

If you have more questions, close this one and open a new one.

Answer 37

Okay