Question

Shannon wants to save $500
$
500
in her savings account. She earns $20
$
20
a day pet sitting. How many days does she need to pet sit to reach $500
$
500
in her savings account? Investigate this situation with the equation: $20x=$500
$
20
𝑥
=
$
500
. Shannon starts the observations with the values 22–25 days.

Which of these values make a true statement?

(1 point)
Responses

23 days
23 days

24 days
24 days

25 days
25 days

22 days

Answer 1

To determine how many days Shannon needs to pet sit to reach $500, we can use the equation:

\[
20x = 500
\]

To find \( x \) (the number of days she needs to pet sit), we can divide both sides by 20:

\[
x = \frac{500}{20} = 25
\]

So, Shannon will need to pet sit for 25 days to reach $500.

Now, we can check the values provided (22, 23, 24, and 25 days) in the context of the equation \( 20x = 500 \):

- For **22 days**:
\[
20 \times 22 = 440 \quad \text{(not $500$)}
\]

- For **23 days**:
\[
20 \times 23 = 460 \quad \text{(not $500$)}
\]

- For **24 days**:
\[
20 \times 24 = 480 \quad \text{(not $500$)}
\]

- For **25 days**:
\[
20 \times 25 = 500 \quad \text{(this is true)}
\]

Only **25 days** makes a true statement, confirming that Shannon needs to pet sit for 25 days to reach her goal of $500.