Question

The table below shows the time taken to make donuts:


Which of the following is the correct statement regarding the above table?

• A. The initial value of donuts is 50
• B. The initial value of donuts is 40
• C. The initial value of donuts is 30
• D. The initial value of donuts is 20

Answer 1

The correct option is C The initial value of donuts is 30


From table consider any two points, say (2,52) and (4,74)

$\text{Slope (m)}=\frac{\text{Change in y}}{\text{Change in x}}=\frac{74-52}{4-2}=11$

$\text{We know, equation for point slope form is}$
$y-y_1=m(x-x_1)$

$\text{At point (2,52), the equation becomes:}$

$y-52=11(x-2)$

$\Rightarrow y-52=11x-22\text{(using distributive}$
$\text{property)}$

$\Rightarrow y=11x+52-22$

$\Rightarrow y=11x+30$

Initial number of donuts will be there when time taken (y) = 0 h

So, put value of "x" as zero in the above equation.

We get:
$y=11\left(0\right)+30$

$\Rightarrow y=30\text{(it's the y-intercept)}$

Therefore, the initial values of donuts is 30.