Question

GET 15 POINTS JUST ANSWER QUICK!!!

The graph below shows the relationship between the number of batches of brownies, b, and the number of cups of flour, f, required. Based on the information in the graph, which equation can be used to predict how many cups of flour are needed for 10 batches of brownies?

Question 3 options:


f = 2.5b + 10


f = 2.5b


f = 10b + 2.5


f = 10b

Answer 1

f = 2.5b

Explanation:

The graph shows a straight line that passes through the origin, so this is direct variation.

The standard equation for direct variation is

y = kx,

where k is the constant of variation.

In this case, we have

f = kb

We need to find the value of k.

Read one point on the graph that is easy to read since it falls on a grid intersection. For example, look at (2, 5). Each point is of the form (b, f), so for point (2, 5), b = 2, and f = 5.

Replace b with 2 and f with 5 and solve for k in the equation f = kb.

f = kb

5 = k * 2

2k = 5

k = 5/2 = 2.5

Now replace k with 2.5.

f = 2.5b

The equation is f = 2.5b

Answer 2

Explanation:

if one batch of brownies is 2 cups of flour, then 10 batches of brownies would be 20 cups of flour