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Aleksandr [31]
2 years ago
6

A cyclist is riding from the city to the country. She rides 20 miles each hour. At the beginning of the 1 st hour, she is 10 mil

es away from the city center. At the beginning of the 2nd hour, she is 30 miles away from the city center. Write an explicit formula to show her distance from the city at any given hour. Then use the formula to find her distance at the beginning of the 5th hour. ​
Mathematics
1 answer:
strojnjashka [21]2 years ago
7 0

Answer:

450miles

Step-by-step explanation:

Because she is riding at 20 miles per houre means that she ride 450 miles in 5 houre.

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lidiya [134]

<u>Note: this answer assumes that the question accepts the equation to be written in slope-intercept form. </u>

Answer:

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Step-by-step explanation:

To write an equation of a line knowing a slope and a y-intercept, you can use slope-intercept form, or y = mx+ b.

1) Lines that are parallel to each other have the same slope. The answer needs to be parallel to the line y = 2x, so whatever the slope of that equation is must be the slope of the answer, too.

y is isolated in y = 2x, meaning it is in slope-intercept form, or y = mx +b form. The m in y = mx + b represents the slope of the line. In the equation y = 2x, the 2 is in the place of that m - meaning that 2 is the slope of that line, and therefore the slope of the answer, too.

2) The question also says that (0,4) is a point the line must pass through as well. However, notice that the x-value of the point is 0, meaning it is positioned on the y-intercept. Therefore, (0,4) must be the y-intercept of the equation.

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