An athlete has decided to track how many minutes they exercise each day. During the first day, the athlete exercised for 30 minutes. For each day after that, the athlete increased their exercise time by 3 minutes. Which equation in point slope form models the number of minutes the athlete exercise, y, based on day, x?

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23-10-2020
Mathematics

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An athlete has decided to track how many minutes they exercise each day. During the first day, the athlete exercised for 30 minutes. For each day after that, the athlete increased their exercise time by 3 minutes. Which equation in point slope form models the number of minutes the athlete exercise, y, based on day, x?

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CintiaSalazar CintiaSalazar · Answer 1 · 2020-10-25T02:32:57+01:00

Answer:

The equation in point slope form is y+30= 3*(x+1)

Step-by-step explanation:

The linear function is defined by the equation

f (x) = mx + b or y = mx + b

where m is the slope of the line and b is the intercept with the Y axis.

Another way to express the equation or linear function is the point-slope form, the slope of a line and the coordinates of a point on it. Its form is:

y-y1=m*(x-x1)

Being "y" the number of minutes that the athlete exercises, and knowing that on the first day, the athlete exercised for 30 minutes, then you can express: y + 30

Being "x" the number of days after the first, and you know that for each day after the first (expressed as x + 1), the athlete increased his exercise time by 3 minutes. This is expressed by 3 * (x + 1)

So, the equation in point slope form is y+30= 3*(x+1)