Question

read the description of a proportional relationship. during class today, jordans teacher gives everyone time to write their short stories. jordan is proud of his story and wants to email it to his grandparents. so, after school he goes to the computer lab to type it. there is a proportional relationship between the amount of time (in minutes) jordan types in the computer lab, x, and the total number of words he types, y. in the first 2 minutes in the lab, jordan types 42 words. write the equation for the relationship between x and y. y =

Explanation:

Step1: Find the typing - rate

The typing - rate (constant of proportionality) is found by dividing the number of words by the time. Given that in $x = 2$ minutes, $y = 42$ words. The rate $k=\frac{y}{x}=\frac{42}{2}=21$ words per minute.

Step2: Write the proportional equation

For a proportional relationship $y = kx$, where $k$ is the constant of proportionality. Since $k = 21$, the equation is $y=21x$.

Answer:

$y = 21x$