a scale at the animals shelter is broken. the scale adds 5.2 pounds to anything that is weighed.

Question

indentify the quantities in the situation. assing a letter to each one.

sketch a diagram that shows the relastionship between quantities.

make a table that shows the relationship between quantities.

using letters,write a formula that represents the relationship between the quantities in this situation.

Answer 1

Let M represent the measured weight according to the faulty scale, and let W represent the true weight. M and W are measured in pounds.

W=M-5.2 relates the true weight to the measured weight.

The graph shows weights up to about 175 pounds. The horizontal axis is M, the measured weight, while the vertical axis is W, the true weight. Only the part of the red line above the M axis is meaningful, because negative true weights are not possible.

The table below is a smaller scale than the graph and shows measured weights up to 15 pounds, and the table can be used with the graph to get accurate true weight values.

M pounds	W pounds
5.2	0
6	0.8
7	1.8
8	2.8
9	3.8
10	4.8
11	5.8
12	6.8
13	7.8
14	8.8
15	9.8