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At the beginning of the summer, a beachwear shop owner stocks the store with 500

beach towels to sell to customers. The function f (x) = 500 - 20x
represents the number of beach towels remaining for sale after x
days since the beginning of the summer, where x < 25
.

Which statement about f (12)
is true?

Responses

5 answers

To evaluate the function \( f(x) = 500 - 20x \) at \( x = 12 \), we will substitute 12 into the function:

\[ f(12) = 500 - 20(12) \]

Calculating the multiplication first:

\[ 20(12) = 240 \]

Now, substituting this back into the function:

\[ f(12) = 500 - 240 = 260 \]

So, after 12 days, there are 260 beach towels remaining for sale.

True Statement about \( f(12) \)

Here are some possible true statements regarding \( f(12) \):

  1. There are 260 beach towels remaining for sale.
  2. Number of towels sold after 12 days is 500 - 260 = 240.
  3. The beach shop has sold towels at a rate of 20 towels per day.

Please provide specific response options if you would like to analyze further statements.

The value of
is
, which represents
beach towels being sold in the first
days of summer.

The value of f ( 12 ) is 240 , which represents 240 beach towels being sold in the first 12 days of summer.

The value of
is
, which represents
beach towels remaining for sale after the first
days of summer.

The value of f ( 12 ) is 240 , which represents 240 beach towels remaining for sale after the first 12 days of summer.

The value of
is
, which represents
beach towels being sold in the first
days of summer.

The value of f ( 12 ) is 260 , which represents 260 beach towels being sold in the first 12 days of summer.

The value of
is
, which represents
beach towels remaining for sale after the first
days of summer.

Let's clarify the information based on the function \( f(x) = 500 - 20x \):

  1. Value of \( f(12) \):

    • We calculated that \( f(12) = 260 \). This means there are 260 beach towels remaining for sale after the first 12 days of summer.

  2. Towels Sold:

    • To find the number of towels sold after 12 days, we subtract the remaining towels from the initial stock: \[ \text{Towels Sold} = 500 - f(12) = 500 - 260 = 240 \]

Correct Statements

Now let's correct and organize your provided statements based on the evaluations we made:

  1. There are 240 beach towels sold in the first 12 days of summer.
    (This is true, as we found 240 towels sold.)

  2. The value of \( f(12) \) is 260, which represents 260 beach towels remaining for sale after the first 12 days of summer.
    (This is true, as we found there are 260 remaining.)

Summary of the True Statements

  • The value of \( f(12) \) is 260, which represents 260 beach towels remaining for sale after the first 12 days of summer.
  • The value of \( 500 - f(12) = 240 \), which represents 240 beach towels being sold in the first 12 days of summer.

If you have specific blanks to fill, you can use the above clarifications!

no blanks to be filled, what's the answer?

The correct statement about \( f(12) \) is:

The value of \( f(12) \) is 260, which represents 260 beach towels remaining for sale after the first 12 days of summer.

Additionally, we can note:

The number of beach towels sold in the first 12 days of summer is 240.

The statement indicating that "The value of \( f(12) \) is 240" is incorrect; the correct evaluation shows that \( f(12) = 260 \).

So the answer you are looking for is the first one regarding the towels remaining for sale after 12 days.