A taxi charges $1.75 plus a fee of $0.75 for each mile traveled. The total cost of a ride, without a tip, is $4.75. How many mil
1 answer:
Answer:
The trip contains 4 miles.
Step-by-step explanation:
The slope-intercept form of the line equation
where
- m is the rate of change or slope
- b is the y-intercept
Given that A taxi charges $1.75, meaning the initial condition of the trip is to charge $1.75.
Thus, y-intercept b = 1.75
Also, the taxi charges a fee of $0.75 for each mile traveled.
Thus, rate of change or slope m = 0.75
Let 'y' be the total cost
Let 'x' be the number of miles
Given that the total cost of a ride, without a tip, is $4.75.
so substitute y = 4.75, rate of change or slope m = 0.75, and the y-intercept b = 1.75 in the slope-intercept form of the line equation
y = mx + b
4.75 = 0.75(x) + 1.75
switch sides
0.75(x) + 1.75 = 4.75
subtract 1.75 from both sides
0.75x + 1.75 - 1.75 = 4.75 - 1.75
0.75x = 3
divide both sides by 0.75
0.75x/0.75 = 3/0.75
x = 4 miles
Therefore, the trip contains 4 miles.
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