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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For example, paying $2/pound for apples is the same as paying $6 for 3 pounds:
That's a portion.
When working with proportions in word problems, you start by setting up one ratio/fraction where you know all the information. You then set up the second one that's missing a piece of information, but you make sure to set it up using the same structure.
If your first ratio is "miles over hours," then the next ratio has to have the same organization.
If your first ratio is "rise over run," then the next ratio has to have the same organization.