Question

At a grocery store, the price of a watermelon is determined by how many pounds the watermelon weighs. The price of a watermelon that weighs 7.3 pounds is $4.38. Write an equation that can be used to determine the price, p, in dollars, of any watermelon based on the number of pounds, w, the watermelon weighs. Explain the process you used to determine the equation.

Answer 1

Answer:

7.3w × 4.38 = p

Step-by-step explanation:

Answer 2

The required equation is p = 0.6w

Given :

At a grocery store, the price of a watermelon is determined by how many pounds the watermelon weighs. The price of a watermelon that weighs 7.3 pounds is $4.38

To find :

• Write an equation that can be used to determine the price, p, in dollars, of any watermelon based on the number of pounds, w, the watermelon weighs.

• The process used to determine the equation.

Solution :

Step 1 of 2 :

Find the relationship

Here it is given that the price of a watermelon is determined by how many pounds the watermelon weighs.

As the watermelon weighs increases the price of a watermelon increases.

So Price of a watermelon is in direct variation with Weight of a watermelon

Step 2 of 2 :

Find the equation

Price of a watermelon is in direct variation with Weight of a watermelon

Now ,

Price of watermelon in dollars = p

Weight of a watermelon = w

∴ p ∝ w

⇒ p = kw (where k ≠ 0 is a non zero real number)

When w = 7.3 we have p = 4.38

∴ 4.38 = k × 7.3

⇒ k = 0.6

∴ p = 0.6w

Which is the required equation

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