Question

Help on a long Question?

Answer 1

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:
Graph:
http://prntscr.com/45ow47
Table:
http://prntscr.com/45owcf

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 = 20 to x = 30 for the function representing the motion for car 2? What does the value of this average rate of change represent? (4 points)

Answer 2

1. the x-int is when y=0 (they reach the destination), so it is the time it takes to reach their destination.

2. the y-int is the starting point (x=0) from their destination

3. the domain is the amount of time it can take them to get to their destination, which can only be x>0 and not negative.

4. This is the slope. it represents the velocity of the car

Answer 3

Thank You So Much @aaronq sorry for the late response i had to go eat dinner

Answer 4

no problem ! you still need to find the slope between the two points, use the data table given

Answer 5

Well... From 20 to 30 it decreases by 7.32744

Answer 6

So what do i do to find the slope...

Answer 7

so the slope of a line is: \(slope=\dfrac{\Delta y}{\Delta x}=\dfrac{y_2-y_1}{x_2-x_1}\)

so \(slope=\dfrac{7.32744 }{30-20}\)

Answer 8

Ohhhh ok so that would be \[\frac{ 7.32744 }{ 10 }\] so it rises by 7.32744 and runs 10 right?

Answer 9

since slope is \[\frac{ rise }{ run }\]

Answer 10

yep thats right! but notice that the slope is decreasing, so you should've had

\(y_2-y_1\)=32.72904-40.05608=-7.32744

Answer 11

o ok

Answer 12

good stuff

Answer 13

Thank You (again lol)!