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3 years ago

10

A recipe for a loaf of bread calls for 2/3 of a cup of flour. If Milo used 12 cups of flour, how many loaves of bread did he pre

pare?
(I got 8, however, it says that my answer is incorrect....)

1 answer:

dusya [7]3 years ago

5 0

Answer:

Step-by-step explanation:

12 cups divided by 2/3 cup

12 ÷ 2/3

12 × 3/2

6 × 3 = 18 Loaves

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Write a linear function (y=Mx+b) or exponential function that models the data

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We are given a data set and we are asked to write the model that fits the data. We notice that for each step of "x" the values of "y" increase by the same amount. That means that the data follow a linear model, therefore, we will use:

$y=mx+b$

Where:

$\begin{gathered} m=\text{ slope} \\ b=\text{ y-intercept} \end{gathered}$

To determine the slope "m" we will use the following formula:

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

Where:

$(x_1,y_1),(x_2,y_2)$

Are data points. From the table we choose the following points:

$\begin{gathered} (x_1,y_1)=(-8,47) \\ (x_2,y_2)=(-7,40) \end{gathered}$

Now, we substitute in the equation for the slope:

$m=\frac{40-47}{-7-(-8)}$

Solving the operations:

$m=\frac{-7}{-7+8}=-7$

Therefore, the slope is -7. Substituting in the equation of the line we get:

$y=-7x+b$

Now, we substitute one of the points to get the value of "b". We will substitute the value x = -8, y = 47, we get:

$47=-7(-8)+b$

Solving the product:

$47=56+b$

Now we subtract 56 from both sides:

$\begin{gathered} 47-56=56-56+b \\ -9=b \end{gathered}$

Now, we substitute the value of "b" in the equation of the line:

$y=-7x-9$

And thus we get the line equation.

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1 year ago