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, 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.