GrUber (Grades 6-8)

So today in math lab, we made a fake company named Gruber. First we needed to find out how much to charge for going to where the person is, so I thought it would be good to charge $1.00 to pick up. Then each mile to get to their destination is going to be $.50. 

- Chloe (Grade 6) 

In the first situation, I asked the students to decide two things: a flat pick up cost and a price per mile. We constructed a table of values (assuming each part of a mile would be rounded up to whole miles).

Then we created an algebraic rule for when the flat rate is $2.00 and the price per mile is $1.50. Where x (the independent variable) is the number of miles, and y (the dependent variable) is the cost, y=1.5x+2. Next, we looked at what would happen if we changed just the flat pick up rate. Using desmos.com, we were able to compare the lines.

y=1.5x+2
x	y
independent	dependent
miles	cost
0	$2.00
1	$3.50
2	$5.00
3	$6.50
4	$8.00
5	$9.50
6	$11.00
7	$12.50
8	$14.00
9	$15.50
10	$17.00

The lines were parallel and moved up and down based on the flat pick up rate.

Then we looked at what would happen if the flat rate remained the same but the price per mile changed.


Every equation crossed 2 on the y-axis, but the angle (or slope) changed. The higher the value, the steeper the slope.

Stage three was to design their own company. What variables would be important to them? Would they change the price based on weather, time in the car, number of people in the car, size of the car....? What would their service be called? How would they market the company to attract customers?



Hi, and welcome to YOUBER! Youber is where it's all about you! Yay! So the cost for the pick up is $1.00. The cost per mile is $1.50 because mine is a Youber black. 

- Chloe

To be continued...