Question

Every morning, Michael goes for a jog. He noticed that he is losing weight, as estimated by the equation $y=mx-3$, where $y$ represents the weight loss in kilograms and $x$ represents the number of months. If he has lost $13$ kg in four months, what is the value of $m$?

• A. $2$
• B. $3$
• C. $4$
• D. $-4$

Answer 1

The correct option is C $4$

Given equation
$y=mx-3$
Given data
Weight lost: $y=$ 13 $\text{kg}$
Number of months: $x=4$

Substitute $x=4$, and $y=13$ in the above equation
$13=m\times 4-3$
Adding $3$ on both sides
$13+3=m\times 4-3+3$
$16=4m$
Dividing by $4$ on both sides
We get
$m=4$
Answer: Value of $m$ is $4$