Questions: Using the formula, the tuition and fees for the school year ending in 2010 was 25888.
(Simplify your answer. Do not include the symbol in your answer.)
b. By how much does the formula underestimate or overestimate the actual cost shown by the graph for the school year ending in 2010?
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The formula underestimates the actual cost by .
B. The formula overestimates the actual cost by .
Transcript text: Using the formula, the tuition and fees for the school year ending in 2010 was $\$ 25888$.
(Simplify your answer. Do not include the $\$$ symbol in your answer.)
b. By how much does the formula underestimate or overestimate the actual cost shown by the graph for the school year ending in 2010?
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The formula underestimates the actual cost by $\$$ $\square$ .
B. The formula overestimates the actual cost by $\$$ $\square$
Solution
Solution Steps
To determine whether the formula underestimates or overestimates the actual cost, we need to compare the given formula cost with the actual cost shown by the graph for the school year ending in 2010. We will then calculate the difference between these two values.
Step 1: Identify Given Values
We are given the following values:
The tuition and fees for the school year ending in 2010 according to the formula: \( \$25,888 \)
The actual cost shown by the graph for the school year ending in 2010: \( \$27,000 \)
Step 2: Calculate the Difference
To determine the difference between the actual cost and the formula cost, we subtract the formula cost from the actual cost:
\[
\text{difference} = \text{actual cost} - \text{formula cost} = 27000 - 25888 = 1112
\]
Step 3: Determine Underestimation or Overestimation
Since the difference is positive (\(1112 > 0\)), the formula underestimates the actual cost.
Final Answer
The formula underestimates the actual cost by \( \$1112 \).
\[
\boxed{\text{The formula underestimates the actual cost by } \$1112.}
\]