Math 141 Contemporary College Algebra Name Homework #2: Linear Functions Show al
ID: 3169115 • Letter: M
Question
Math 141 Contemporary College Algebra Name Homework #2: Linear Functions Show all work for full credit and box in your final answers. Algebraically find the value of x so that the slope of the line through (,5) and (4.2) is 2. The function D(n) 3.40+ 0.11n gives the average consumer debt, in thouasands of dollars, where n represents the number of years since 2015. a. Write a sentence interpreting the slope in terms of the real situation b. Evaluate and interpret D(2). 3. Your favorite aunt put money in a savings account for you in 2010. The account earns simple interest (increases a fixed amount each year). After 2 years, your account had $8250 and after 5 years it had $9375 a. Find the rate of change in the money in your account. b. Write a sentence interpreting what this rate of change means in the real situation c. Construct a linear equation to model the amount of money in your account Show all work. account will have $12,000. d. Use the equation found in c. to algebraically determine in which year your 263Explanation / Answer
1) Slope when 2 points are given (x1,y1) and (x2,y2) is given by: m = (y2-y1)/(x2-x1)
For the given points slope (m) = (2-5) / (4-x) = 1/3
-3/(4-x) = 1/3
4-x = -3*3
4-x = -9
4+9 = x
x= 13;
Thus, for the slope to be =1/3; the value of x=13