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Monica [59]
3 years ago
5

A 10- ounce box of cereal cost $3. A 20-ounce box of the same cereal cost $5. A third box of the same cereal cost $8. • Use the

given relationships to write a linear equation that expresses the price of a box of cereal as a function of the number of ounces of cereal in the box. Show your work !!!
Help me out , only have 5 minutes !!! Asap ! Will give brainliest too
Mathematics
1 answer:
34kurt3 years ago
5 0

Answer:

P(w)=0.2w+1

Step-by-step explanation:

Let is call P the price of the cereal box, and w its weight, then the linear  equation of the price P(w) as a function of weight w will be

P(w)=mw+b,

where m is the slope of the linear equation, and b is the y-intercept.

We find m by evaluating the rise/ run of the linear equation:

m= \frac{ \Delta rise}{ \Delta run} = \frac{ \Delta price}{ \Delta weight} =\frac{5-3}{20-10} =\frac{2}{10} \\\\\boxed{m=0.2}

thus we have

P(w)+0.2w+b

now we figure out b from the point ($5, 20 ounces):

5=0.2(20)+b\\5=4+b\\\\\boxed{b=1}

So  finally we have the function

\boxed{P(w)+0.2w+1}

which expresses the price of a box of cereal as a function of the number of ounces of cereal in the box

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