Question

The cost of taking a cab is $4 plus $0.75 per mile. This can be represented using the linear function  c=0.75m+4
, where c is the cost per trip and m is the distance in miles. Graph the equation on a coordinate plane. Based on your line, what would the corresponding dependent variable be if you were to travel 4.5 miles? Round your answer to the nearest hundredth.(1 point)

Answer 1

A graph of the function y=80x+2
models Carli’s road trip, with her speed measured in miles per hour. The graph includes the two hours of stops she’ll make. Using this information, define which quantity describes the x-axis.(1 point)
Responses

speed traveled

direction traveled

time in hours

miles traveled

Answer 2

To graph the equation on a coordinate plane, we need to identify two points that lie on the line.

We can start by choosing m=0 and finding the corresponding value of c:
c = 0.75(0) + 4 = 4

So the point (0,4) lies on the line.

Next, we can choose another value for m, for example m=2:
c = 0.75(2) + 4 = 5.5

So the point (2,5.5) lies on the line.

Now we can plot these two points on a coordinate plane and draw a line passing through them:

-----------------
c |        
5 |
|
4 |        
3 |
|
2 |        
1 |
|
0 |_ _ _ _|_ _ _ _ _|_
0       1       2       3    4    5    6   7    8

m

-----------------

To find the corresponding dependent variable (c) if you were to travel 4.5 miles, we can input m=4.5 into the equation:
c = 0.75(4.5) + 4 = 7.375

Rounding to the nearest hundredth, the corresponding dependent variable is 7.38.