Question

PLEASE HELP ASAP!

The table below represents the distance of a car from its destination as a function of time.


Part A: What is the y-intercept of the function and what does this tell you about the car? (4 points)

Part B: Calculate the average rate of change of the function represented by the table between x = 1 to x = 3 and what does the average rate represent? (4 points)

Part C: What would be the domain of this function if the car traveled the same rate until it reached its destination? (2 points)

Answer 1

You'll need to post the table as well as the instructions. Please do that. Thanks.

Answer 2

Time Distance
(Hour) (miles)
x y
0 900
1 850
2 800
3 750

Answer 3

For part A I think the y-intercept is 50

Answer 4

I forgot how to do this stuff sorry.

Answer 5

First: let's assume that the relationship between x and y is linear. Then take any two points from the table,

for example:

1 850
2 800

and calculate the slope, using the slope formula.

If youi've forgotten that, please see:

http://www.purplemath.com/modules/slope.htm

Once you've calculated the slope, type in your result here.

Answer 6

I got
850 - 800
m = —————
1 - 1

so 50?

Answer 7

?

Answer 8

Ask yourself: what would the denominator look like after you've simplified 1-1?

Also, if you look carefully, you'll see that y decreases as x increases. Mind trying again to find the slope?

Answer 9

-50?

Answer 10

Great! Thanks for y our perseverance.
Please be sure to use units of measurement:

m = -50 miles / hour

Answer 11

You are to find the y-intercept of the straight line through those two points. Use the slope-intercept formula.

let your m (in that formula be -50 miles/hour.
Pick either point and substitute its coordinates into the equation.

If you're unsure of the point-slope formula, please say so (or better yet, look it up through an Internet search.

Answer 12

Is this still for Part A?

Answer 13

Yes, it definitely is about Part A.

Your slope is correct. You could choose the point (1,850).

The resulting point-slope form of the equation of the line is then

\[y-y _{0}=m(x-x _{0})\]
with \[x _{0}=1. and. y _{0}=850.\]

Answer 14

Simplify the result; re-write the equation in the form y=m*x + b.

" b " is the vertical intercept that you wanted.

Answer 15

so y = -50x + b?

Answer 16

the line crossed the 900 so is it y = -50x + 900?

Answer 17

I haven't checked your result, but if it's correct, then yes, the y-intercept is b = 900, or, as a point, is (0,900).

Unfortunately, I have to get off my computer now. if you still need help with these problems, perhaps I could help you later today.

Answer 18

Are you able to answer Part B real quick?