Mathematics

Question

Aiko types at a rate of 70 words per minute.
After typing at the same rate for 3 minutes, he had typed a total of 210 words.

This situation can be represented with a linear equation written in point-slope form, where x represents the number of minutes and y represents the number of words.

Use this information to complete each statement about the linear equation.


The slope of the linear equation is ____

One point on the graph of a linear equation will be ___

This linear equation can be written as ____

2 Answer

  • In this question, we're trying to make an equation for the given scenario and answer a couple of leading questions.

    We know that Aiko types at a rate of 70 words per minute

    We would represent this as 70x

    x = minutes

    We are also given more information that he types 210 words in 3 minutes, that still follows our "70x" scenario.

    So our equation would be:

    y = 70x

    The slope of the linear equation would be 70 or 70/1

    The slope would be 70 because this is the change that's happening each minute.

    A point on a graph would be at (1 , 70)

    You would put this equation into a graph, and you would grab a point that's on the linear line. I'll insert a picture of the graph

    The linear equation would be written as: y = 70x

    The beginning point would be at 0, since Aiko doesn't type anything for 0 minutes.

  • Answer:

    1 The slope of the linear equation is  70

    2 One point on the graph of a linear equation will be 3, 210

    3,This linear equation can be written as  y-210=70(x-3)

    Step-by-step explanation:

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