A 10-pound bag of grass seed will cover an area of about 4000 square feet. The relationship between pounds (p) of grass seed and

Question

4 years ago

14

area (a) can be written as a =kp. What is the value of k?

1 answer:

UkoKoshka [18] · Answer 1 · 2022-01-25T08:52:47+03:00

k is 400 square feet per pound

Step-by-step explanation:

In this problem, we know that a 10-pounds bag of grass seed covers an area of about 4000 square feet.

We can write the relationship between pounds of grass seed (p) and area (a) as

$a=kp$

where k is the constant of proportionality between the two variables.

We can find the value of k simply by re-arranging the equation and substituting the values of a and p.

Re-arranging the equation,

$k=\frac{a}{p}$

And substituting the values of a and p,

$k=\frac{4000}{10}=400 ft^2/p$

Which means k is equal to 400 square feet per pound.

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