Jasmine is in a bicycle race. She has already biked 10 miles and is now biking at a rate of 18 miles per hour. Write and equation for this situation. What is the slope, and the y-intercept?

Question

Mathematics

Leticia Lynch

4 August, 04:12

Jasmine is in a bicycle race. She has already biked 10 miles and is now biking at a rate of 18 miles per hour. Write and equation for this situation. What is the slope, and the y-intercept?

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Answers (1)

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Juliet Short · Answer 1

y = 18x + 10

slope = 18

y-intercept = 10

Step-by-step explanation:

The situation given in the problem is linear and can be represented using slope-intercept form of a linear equation: y = mx + b, where 'm' is equal to the slope, 'b' is equal to the y-intercept, 'x' is the number of hours and 'y' is the total number of miles.

Given that Jasmine has already biked 10 miles, her initial value, or y-intercept would be 10. Since she is now biking at a rate of 18 miles per hour, her rate of change, or slope, would be 18.

Using these values for 'm' and 'b': y = 18x + 10