Questions: Question 12, P1.131 The formulas model the average cost of tuition and fees, T, at private colleges for the school year ending x years after 2010. The graph shows average cost of tuition and fees at private four-year colleges Model 1: T=26 x^2+819 x+15,925 Model 2: T = 801 x+18,629 Answer parts a and b a. Use each formula to find the average cost of tuition and fees at private colleges for the school year ending in 2020. By how much does each model underestimate or overestimate the actual cost for the school year ending in 2020? Use the formula T=26 x^2+819 x+15,925 to find the average cost of tuition and fees at private colleges for the school year ending in 2020. Using the formula, the cost of tuition and fees for the school year ending in 2020 was (Simplify your answer. Do not include the symbol in your answer)

Question 12, P1.131
The formulas model the average cost of tuition and fees, T, at private colleges for the school year ending x years after 2010. The graph shows average cost of tuition and fees at private four-year colleges

Model 1: T=26 x^2+819 x+15,925
Model 2: T = 801 x+18,629

Answer parts a and b
a. Use each formula to find the average cost of tuition and fees at private colleges for the school year ending in 2020. By how much does each model underestimate or overestimate the actual cost for the school year ending in 2020?

Use the formula T=26 x^2+819 x+15,925 to find the average cost of tuition and fees at private colleges for the school year ending in 2020.
Using the formula, the cost of tuition and fees for the school year ending in 2020 was 
(Simplify your answer. Do not include the  symbol in your answer)
Transcript text: Question 12, P1.131 The formulas model the average cost of tuition and fees, T, at private colleges for the school year ending $x$ years after 2010 . The graph shows average cost of tuition and fees at private four-year colleges Model 1: $T=26 x^{2}+819 x+15,925$ Model 2: $T = 801 x+18,629$ Answer parts a and b a. Use each formula to find the average cost of tuition and fees at private colleges for the school year ending in 2020 . By how much does each model underestimate or overestimate the actual cost for the school year ending in $2020 ?$ Use the formula $T=26 x^{2}+819 x+15,925$ to find the average cost of tuition and fees at private colleges for the school year ending in 2020. Using the formula, the cost of tuition and fees for the school year ending in 2020 was $ \square$ (Simplify your answer. Do not include the \$ symbol in your answer)
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Solution

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Solution Steps

Step 1: Calculate x

The formulas model tuition for the school year ending x years after 2010. For the school year ending in 2020, x = 2020 - 2010 = 10.

Step 2: Evaluate Model 1

Substitute x = 10 into Model 1: T = 26x² + 819x + 15,925 T = 26 * (10)² + 819 * 10 + 15,925 T = 26 * 100 + 8190 + 15,925 T = 2600 + 8190 + 15,925 T = 26,715

Final Answer:

26715

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