To determine the total number of cans in rows 22 through 25 on a larger display, we will consider each row's contribution and evaluate the given expressions to check which correctly calculate the total number of cans.
First, let's look at the sum of all cans in these rows:
For row 22, there are 22 cans.
For row 23, there are 23 cans.
For row 24, there are 24 cans.
For row 25, there are 25 cans.
So, adding these amounts, we calculate:
[tex]\[ 22 + 23 + 24 + 25 \][/tex]
Now let's calculate the total:
[tex]\[ 22 + 23 = 45 \][/tex]
[tex]\[ 45 + 24 = 69 \][/tex]
[tex]\[ 69 + 25 = 94 \][/tex]
So, the total number of cans from rows 22 to 25 is 94.
Next, let's look at the expression [tex]\(3\left(\frac{22+25}{2}\right)\)[/tex]:
First calculate the average of the first and last terms:
[tex]\[ \frac{22 + 25}{2} = \frac{47}{2} = 23.5 \][/tex]
Then multiply by 3:
[tex]\[ 3 \times 23.5 = 70.5 \][/tex]
Comparing both expressions, only the first expression [tex]\(22 + 23 + 24 + 25\)[/tex] correctly sums up to 94, which matches the correct total number of cans for rows 22 to 25.
Thus, the valid expression to find the total number of cans in rows 22 through 25 is:
[tex]\[ 22 + 23 + 24 + 25 \][/tex]
