Question

Lucas is keeping track of the total number of miles he runs each week. During the second week, he ran four more than twice as many miles as he did during the first week.
(A) If “m” represents the number of miles that he ran during the first week, write an equation in terms of “m” for the number of miles he ran during the second week.

(B) The total number of miles that Lucas ran during the first two weeks is equal or eight less than four time the number of miles he ran during the first week. Determine the number of miles Lucas ran in the first week.

Answer 1

(A) The equation represents the number of miles he ran during the second week is (2m + 4) miles.

(B) The total number of miles that Lucas ran during the first two weeks is m + (2m + 4) ≤ 4m ⇒ m ≥ 4

What is an equation?

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

Given, Lucas is keeping track of the total number of miles he runs each week.

In the first week, he ran m miles, and in the second week, he ran 4 miles more than twice the miles he ran in the first week.

∴ The equation in terms of m represents the number of miles he ran during the second week is (2m + 4) miles.

Also given, The total number of miles that Lucas ran during the first two weeks is equal to or eight less than four times the number of miles he ran during the first week which is,

m + (2m + 4) ≤ 4m.

3m - 4m ≤ - 4.

- m ≤ - 4.

m ≥ 4.  (think of moving the terms to other sides to make m positive).

learn more about inequalities here :

brainly.com/question/28823603

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