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

To graph the equation, we can plot a few points and then connect them to create a straight line.

When the distance is 0 miles, the cost is $4, so our first point is (0,4).

When the distance is 1 mile, the cost is $0.75 + $4 = $4.75, giving us the point (1,4.75).

We can continue this process to get a few more points, or we can find the y-intercept and slope to find the equation of the line.

The y-intercept is the point (0,4), so we know that when the distance is 0 miles, the cost is $4.

The slope can be found by taking the coefficient of m in the equation, which is 0.75.

Now we can use the slope and y-intercept to find the equation of the line: y = mx + b
Where m is the slope and b is the y-intercept.

So in this case, the equation is: c = 0.75m + 4.

Now, to find the cost for traveling 4.5 miles, we can plug in m = 4.5 into the equation and solve for c:
c = 0.75(4.5) + 4
c = 3.375 + 4
c = 7.375

Therefore, the corresponding dependent variable for traveling 4.5 miles is $7.375. Rounded to the nearest hundredth, the cost is $7.38.