Question

The graph below shows the amount of granulated sugar, in cups, in a bakery stock room and the number of cakes created.
Based on the line of best fit, approximately how many cups will be left after the baker has made 16 cakes?

A. 3 cups
B. 5 cups
C. 7 cups
D. 1 cup

Answer 1

Answer:

D. 1 cup.

Step-by-step explanation:

We have been given an image of a graph that shows the amount of granulated sugar, in cups, in a bakery stock room and the number of cakes created.

First of all let us find the equation of line of best fit in slope-intercept form of equation $(y=mx+b)$, where, m represents slope of line and b represents y-intercept.

Let us find the slope of line using slope formula.

$m=\frac{y_2-y_1}{x_2-x_1}$, where,

$y_2-y_1$ = Difference between two y-coordinates,

$x_2-x_1$ = Difference between two x-coordinates of same y-coordinates.

Upon substituting coordinates of points (4,20) and (10,11) in slope formula we will get,

$m=\frac{11-20}{10-4}$

$m=\frac{-9}{6}$

$m=-1.5$

We can see that y-intercept of our given equation is approximately 25.4.

So equation of line of best fit will be $y=-1.5x+25.4$.

Let us substitute x= 16 in our given equation to find the number of cups of sugar.

$y=-1.5*16+25.4$

$y=-24+25.4$

$y=1.4\approx 1$

Therefore, approximately 1 cup will be left after the baker has made 16 cakes and option D is the correct choice.

Answer 2

Answer:

D, 1 cup :)

Step-by-step explanation: