## WILL GIVE BRAINLIEST TO FIRST ANSWER Tyrell is traveling to Chicago, Illinois. He takes a cab service from the airport

Question

WILL GIVE BRAINLIEST TO FIRST ANSWER

Tyrell is traveling to Chicago, Illinois. He takes a cab service from the airport to his hotel. The table shows the linear relationship between the number of miles the cab travels, x, and the total fee, y.

Cab Fare
Number of Miles Total Fee
2 \$13.00
5 \$17.50
7 \$21.50
10 \$25.00
15 \$32.50

What does the y-intercept mean in this situation?
For every additional mile the cab travels, the total fee increases by \$10.00.
For every additional mile the cab travels, the total fee increases by \$1.50.
When the cab travels 0 miles, the total fee will be \$1.50.
When the cab travels 0 miles, the total fee will be \$10.00.

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4 weeks 2022-12-21T20:11:45+00:00 1 Answer 0 views 0

1. The meaning of the y-intercept in this situation is that: D. when the cab travels 0 miles, the total fee will be \$10.00.
How to calculate the slope of a line?
Mathematically, the slope of a straight line can be calculated by using this formula;
From the table, we have the following parameters:
Points (x, y) = (2, 5) and (13.00, 17.50)
Next, we would calculate the slope as follows:
Slope = (17.50 – 5)/(13.00 – 2)
Slope = 12.50/11.
Slope = 1.14.
Mathematically, the standard form of the equation of a straight line is given by;
y – y₁ = m(x – x₁)
Where:
x and y represents the points.
m represents the slope.
b represents the y-intercept.
Substituting the given parameters into the standard equation, we have;
y – 13.00 = 1.14(x – 2)
y – 13.00 = 1.14x – 2.28
y = 1.14x – 2.28 + 13.00
y = 1.14x + 10.72