Write an equation for a line to represent this situation.
Time(min) 5 10 15 20 25
Charged $8 $13 $18 $23 $28
It looks like the charged line is the Time(min)*(1 dollar/min) + $3
To write an equation for a line, we need to determine the relationship between the two variables: time and the amount charged.
In this situation, it appears that the amount charged increases by $5 every 5 minutes. This means there is a constant rate of change of $5 per 5 minutes.
To find the equation for the line, we can use the slope-intercept form: y = mx + b, where y represents the amount charged in dollars, x represents the time in minutes, m represents the slope, and b represents the y-intercept.
Given that the slope is $5 per 5 minutes, we can write it as m = 5/5 = 1.
Now, let's find the y-intercept.
When the time is 0 minutes, there is no charge. Therefore, the y-intercept, b, is 0.
Putting it all together, the equation for the line representing this situation is:
y = 1x + 0
Simplifying, we get:
y = x
So, the equation for the line is y = x.