Respuesta :
Problem
Create a four-corner model of the following problem:
A plumber charges $25 for a service call plus $50 for each hour he spends at the service call. Use the four-corner model
to write an equation, build a table, use two points to find the slope and create a graph to show the relationship.
What do you think the slope and y-intercept represent?
Solution
For this case we need to create a model given by this general expression:
y= mx +b
with the info given we can find the total cost for 1 hour of service as:
y1= 50*1 + 25= 75
And for 2 hours of service:
y2= 50*2 + 25= 125
And the slope would be:
[tex]m=\frac{125-75}{2-1}=50[/tex]where m represent the slope and b the y intercept
And for this case from the info given we can conclude that m = 50 and b = 25
So then our model would be given by:
y = 50 x +25
With x= number of hours he spend for the service
And 50 represent the variable cost per each hour and 25 is the initial cost or fixed cost
