Question

leon has already had 4 science quizzes this semester. going forward, he expects to have 1 quiz per week.
write an equation that shows how the total number of science quizzes, y, depends on the number of weeks that have passed, x.
y =

Explanation:

Step1: Identify the initial number

Leon has 4 quizzes already, so the initial value is 4.

Step2: Identify the rate of change

He gets 1 quiz per week. So the number of quizzes added per week (rate of change) is 1. The number of weeks is $x$, so the number of quizzes from the weeks passed is $1\times x=x$.

Step3: Write the equation

The total number of quizzes $y$ is the sum of the initial number of quizzes and the number of quizzes from the weeks passed. So $y = 4 + x$.

Answer:

$y=x + 4$