Question

1. Using the letters in the word FABRIC, find the number of permutations that can be formed using 2 letters at a time. Show your work or explain how you got your answer.
2. The table shows the fat content and calories for the burgers at a fast food chain.

Write the best fit line that models the impact of fat content on calories. Explain how you got your answer.

Answer 1

1. Each letter is paired with each of the other letters to produce all the permutations of 2 letters. There are 6×5 = 30 of them.

FA FB FR FI FC .. A.F AB AR AI AC .. BF BA BR BI BC .. RF RA RB RI RC .. IF IA IB IR IC .. CF CA CB CR CI

2. The linear regression function of a graphing calculator can be used to find the line of best fit. Generally, this involves entering the given coordinates and invoking the appropriate regression calculation.

... calories ≈ 13.9×(fat grams) + 191.3