Question

Production for steel utensils is given as:

Steel utensils produced (y)	20	40
Time (days) (x)	3	5

Production for copper utensils is given as:

Compare the production capacities of the two metals and find which metal has a higher rate of production per day.

• A. Copper
• B. Steel
• C. Both metals are equally produced
• D. Cannot be determined

Answer 1

The correct option is A Copper

Observe the table for steel utensils:

Steel utensils produced (y)	20	30
Time(days) (x)	4	6

By observing the table,
Write the relationship as $y=5x$ or 5 steel utensils are produced per day.

Similarly, for copper utensils you get:
Consider the points $(2,16)$ and $(4,32)$ from the graph.
You know, slope $=\frac{Rise}{Run}=\frac{Changeiny}{Changeinx}$
∴ By putting values you get,
Slope (m) $=\frac{32-16}{4-2}=\frac{16}{2}=8$

Equation of a straight line is given by $y=mx$
So, by putting value of m there, you get:
$y=8x$ or 8 copper utensils are produced per day.

By comparing, $8>5$

∴ Production capacity of copper is higher than steel production per day.