1. A table showing three ways the truck could be packed with jugs of water and cases of paper towels should be completed as follows;
Jugs of drinking water, w Cases of paper towels, t
10 100
30 50
50 0
2. An equation relating the number of jugs of water, w, and the number of cases of paper towels, t, the truck can carry is 40w + 16t = 2000.
Part 1.
In order to complete the table of values, we would have to write an equation that models the number of jugs of water (w) and the number of cases of paper towels (t) that this truck can carry as follows;
40w + 16t = 2000
When w is 10, the value of t is given by;
40(10) + 16t = 2000
16t = 2000 - 400
t = 1600/16
t = 100 cases of paper towels.
When t is 50, the value of w is given by;
40w + 16(50) = 2000
40w = 2000 - 800
w = 1200/40
w = 30 jugs of drinking water.
When w is 50, the value of t is given by;
40(50) + 16t = 2000
16t = 2000 - 2000
t = 0/16
t = 0 cases of paper towels.
Part 2.
Since a jug of drinking water weighs 40 pounds and a case of paper towels weighs 16 pounds, and the truck can carry 2,000 pounds, an equation that models the relationship can be written as follows;
40w + 16t = 2000
Complete Question:
A truck is shipping jugs of drinking water and cases of paper towels. A jug of drinking water weighs 35 pounds and a case of paper towels weighs 25 pounds. The truck can carry 2,000 pounds of cargo altogether.
1. Complete the table showing three ways the truck could be packed with jugs of water and cases of paper towels.
2. Write an equation relating the number of jugs of water, w, and the number of cases of paper towels, t, the truck can carry.