The weight is on the x-axis and the cost is on the y-axis.
C
c
Identify the correct pay bands for each type of package.
A
a
Step function
B
b
See solution.
C
c
One package
Practice makes perfect
a
Notice that the table's header says weight not above. This means the rate is fixed for certain intervals. For example, from 0 up to and including 1, the rate is fixed at $6.73. Therefore, the best way to describe this function is with a step function.
If Andres sends them as one package, we have a weight of 2.2+1.8=4 pounds. Let's mark the pay band Andres would fall into when sending this single package.
Weight not above (lb)
Cost ($)
1
6.73
2
9.64
3
12.78
4
13.38
5
14.33
6
16.08
Examining the table, we see that Andres would then have to pay $13.38. He could also send a package that is 2.2 pounds and another that is 1.8 pounds. Let's mark the pay bands the packages fall into for these weights.
Weight not above (lb)
Cost ($)
1
6.73
2
9.64
3
12.78
4
13.38
5
14.33
6
16.08
In this case he would pay $9.64+$12.78=$22.42. Therefore, Andres should send one package only because that is cheaper.
