Question

Matt worked m hours each week. Nate worked n hours each week. The equation n = 4m – 6 describes the relationship between the number of hours Matt worked and the number of hours Nate worked. Which statement describes this relationship? * 1

Answer 1

Linear relationship

Explanation:

This is a linear relationship as it is expressed in the form y= mx+b

Here y= n b = -6 and x= m

A linear equation corresponds to a straight line hence it shows a linear relationship.

There is a correspondence between algebra and geometry through co ordinate system. We can convert a point into a pair of numbers and vice versa.

If we are given the value of y we can determine x and vice versa.

n = 4m – 6

In the given equation suppose x = 5 so y will be 14

n= 4(5)- 6

n= 20-6= 14

Also if we have y= 18 x will be 6

n = 4m – 6

18 + 6= 4m

24/4= m

m= 6