Answers

Question 1 (5 points)

(a) Could Table 3.2 below represent a linear function? If so why?

(b) Write a possible formula for the function shown in the table below.

Table 3.2

t	0	1	3	5	10
f(t)	0.6	0.95	1.65	2.35	4.1

.

Ans: (a) Yes, average rate of change is 0.35 throughout the entire domainfo teh function

(b) f(t) = 0.35t + 0.6 (since y-intercept is 0.6)

Question 2 (5 points) A salesman's total earning in given by a linear function, W(n), where W is his weekly earnings
 and n is the number of weeks. After 2 weeks of working his total earning was $450 and 5 weeks after working is
total earning was $675. Write a possible formula that expresses the salesman's total earning as a function of time in weeks.

Ans: Linear Function given 2 points: (2, 450) and (5, 675)

Slope, m = (675 - 450) / (5 - 2) = 225 / 3 = $75 per week (his weekly earnings)

So possible formula is W = 75n + W₀

Using point (2, 450) we discovered that vertical intercept (W₀ = 300)

So possible formula is W = 75n + 300