Question

The graph below shows the distance (y) in kilometers of two cars from their destination at different times (x) in minutes. The table shows the values plotted on the graph:

graphs of y is equal to 70 minus x and y is equal to 70 multiplied by 0.98 to the power of x


Time
(in minutes)
x 0 10 20 30 40 50 60 70
Car 1
(in km)
y 70 60 50 40 30 20 10 0
Car 2
(in km)
y 70 57.19511 46.73256 38.18388 31.199 25.4919 20.82871 17.01861

Answer 1

Part A: What does the x-intercept of the function for car 1 represent? (2 points)

Part B: What does the y-intercept of the function for car 2 represent? (2 points)

Part C: What is the domain of the functions for car 1 and car 2? (2 points)

Part D: What is the average rate of change from x = 30 to x = 40 for the function representing the motion for car 2? What does the value of this average rate of change represent? (4 points)

Answer 2

what are you trying to calculate?

Answer 3

on which part?

Answer 4

@PMPeetaMellark

Answer 5

https://www.desmos.com/calculator can help you solve parts A,B, and C. :)

Answer 6

Im kind of new to this system i've never done something like this before... :/

Answer 7

if you need a screenshot ill send it to you..

Answer 8

Use slope-intercept form. y=mx+b, the slope is represented by m just in case you need that info too. :) I'm in college and taking calculus 1 and i haven't done anything like part D... but i have done the first 3.

Answer 9

The domain is all the x-values. The x values wil be your answer for part C.

Answer 10

X-intercept is 70, Y-intercept is 80.

Answer 11

There is more than 1 way to write the domain. What way do you need? Do you know?

Answer 12

km per hour?

Answer 13

I guess you don't know... i'll just give you 1 way. Car 1 is (0,70) Car 2 is (0,80) assuming your graph is a little messed up. The graph is messed up as the line goes past the edges. If it's not messed up then it could be assumed that Car 1 is (0.70) and Car 2 is (-∞,∞)

Answer 14

whats car 2?
came up with a bunch of question marks

Answer 15

It's looks like the site get encoding errors when using the infinite symbol... Car 2 is (-infinity, infinity) The infinity symbol is just a sideways 8.

Answer 16

ahh alright
so for a my answer is
Car1: (0,70) and for Car2:0,80
since it goes past the edges?

Answer 17

No, that's if it don't go past the edges...
For going past the edges Car 1 (0,70) Car 2 (-infinite,infinite)
You decide which answer you like... because your graph is a little weirdly drawn. If it was me i'll use the answer above here

Answer 18

I agree math sucks... nice username.

Answer 19

:P

Answer 20

alright how do i solve for B?

Answer 21

do you understand?

Answer 22

@PMPeetaMellark

Answer 23

...

Answer 24

for D the domain what do i do there? (i dont get functions and domains)

Answer 25

No, that's if it don't go past the edges... For going past the edges Car 1 (0,70) Car 2 (-infinite,infinite) You decide which answer you like... because your graph is a little weirdly drawn. If it was me i'll use the answer above here... This is the domain.

Answer 26

As for functions, it's a line; which if you draw a vertical line through any location of the function, the vertical line only crosses the function line once. This test is referred to as the vertical line test, and it's handy in determining if a line is a function.