Question

Yuson must complete 210 min of community service. She does 30 min each day. Which linear equation represents the number of minutes Yuson has left after x days?

Answer 1

Answer:

$y=-30x+210$

Step-by-step explanation:

Let

x -----> the number of days

y ----> the number of minutes Yuson has left

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-coordinate of the y-intercept (initial value)

In this problem we have

The slope is equal to

$m=-30\frac{min}{day}$ ----> is negative because is a decreasing function

$b=210\ min$ ----> initial value

substitute the values

$y=-30x+210$