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)
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.