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
[tex]a=kp[/tex]
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,
[tex]k=\frac{a}{p}[/tex]
And substituting the values of a and p,
[tex]k=\frac{4000}{10}=400 ft^2/p[/tex]
Which means k is equal to 400 square feet per pound.
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