Question

5. Determine whether the relationship between the two quantities in the table is linear. If so, find the constant rate of change. If not, explain your reasoning

SALES PRICE COMPARISON


Retail Price ($ Sale Price ($)

0 0

10 5

20 10

30 15

40 20

50 25

60 30

Answer 1

• Yes, the relationship is linear,
• Constant rate of change is 0.5.

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From the table we see a constant change in both columns:

• For each $10 change in retail price column we see $5 change in sale price column.

It is the linear relationship and the constant rate of change is:

• 5/10 = 0.5

Equation for this relationship is:

• s = 0.5r, where s-sales price, r- retail price