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Precalc Honors 6.3 Homework

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Last updated about 4 hours ago
4 questions
2
Question 1
1.

A class reunion committee is planning for 400 guests for its 10-year-reunion. The guests can choose one of the three options for dessert: Cheesecake, which is $4 per serving, chocolate mousse, which is $2.50 per serving, and blueberry pie, which is $3 per serving. The chef preparing the desserts must spend 5 minutes on a pie, 8 minutes on mousse, and 12 minutes on cheesecake. The total cost of desserts was $1170, and the chef spent exactly 45 hours preparing them.
1
3
1
Solve the system of equations using inverse matrices.





Give your answer as an ordered triple.
Question 2
2.

What is the determinant of the coefficient matrix?

Question 3
3.

Use Cramer's Rule to determine how many people ordered each dessert. Enter your solutions as cheesecake, mousse, pie in that order. Show which determinants you used.

Question 4
4.

Find n so the augmented matrix
[n -8 | 6]
[1 2 | 3]

canNOT be solved using inverses