3. The cost of renting a car is $51 for 60 miles and $77 for 100 miles. Write a

Question

3. The cost of renting a car is $51 for 60 miles and $77 for 100 miles. Write a linear function for the cost, C, of renting a car in terms of the number of miles, m A math professor wanted to test how long it takes (in minutes) for students to complete a math test based on their age. He collects the following data 4. Age (in years) 25 32 128 T 60 -45T38 ] Time (in min.) | 2.5 | 2-1-3 3.5T 6 7- Let age represent the independent variable "x" and time represent the dependent variable "y" and round all answers to the nearest hundredths a Find the correlation coefficient (r) a. Explain what the correlation coefficient tells you about the data values st b. rona correlation c Find the equation of the line of best fit. Extra Credit: Let fit) be the number of people, in thousands, who own an iPhone t years after 2008 Explain in words the meaning of f4)-3.5 5.

Explanation / Answer

(3) Let the function be C = am + b

51 = 60a + b

77 = 100a + b

Upon subtraction, 26 = 40a

a = 26/40 = 13/20

b = 51 - 60(13/20) = 12

The function is C = (13/20)m + 12

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