Answer:
a) It's a quadratic
b) f(x) = A(x-3)(x-7)
c) she is right
Step-by-step explanation:
(0-12)/(3-1) = -6
(-4-0)/(5-3) = -2
Since the slope is not constant, it can't be a linear.
Therefore a quadratic
Since the zeroes are 3 and 7,
Factors are (x - 3) and (x - 7)
f(x) = A(x - 3)(x - 7)
Use any one point besides the x-intercepts to find A
12 = A(1-3)(1-7)
12 = 12A
A = 1
f(x) = (x - 7)(x - 3)
f(x) = x² - 7x - 3x + 21
f(x) = x² - 10x + 21
She is right
Find the number of miles driven by subtracting the odometer readings:
74545 - 74233 = 312 miles driven.
Divide miles driven by gallons of gas used:
312 / 9 = 34.66 = 35 miles per gallon.
