Question

From the following graph, the amount of sand (in cubic feet) required for 380 cubic feet of basking area will be

• A. 106
• B. 114
• C. 124
• D. 148

Answer 1

The correct option is B 114

You know, unit rate = $\frac{changeiny}{changeinx}$

Consider the points (60, 18) and (100, 30).

∴ Unit rate of the graph= $\frac{changeiny}{changeinx}$
$=\frac{y_2-y_1}{x_2-x_1}$
$=\frac{30-18}{100-60}$
$=\frac{12}{40}$
$=0.3$

So, the equation will be $y=0.3x$

Here value of x will be 380 cubic feet.
∴ Putting that value, you get the amount of sand required:
$=380\times 0.3$
$=114$ cubic feet.

So, the amount of sand required for 380 cubic feet of basking area is 114 cubic feet.