<h3>
Answer: Choice A</h3>
Function 1 and the slope is -4/7
=================================================
Explanation:
The slope of y = mx+b is m, which is the number to the left of x.
For function 1
y = (-4/7)x - 4
the slope here is m = -4/7 = -0.57 approximately
Let's use the slope formula to find the slope of function 2 given by the table of values.
Pick any two rows from that table. I'll pick the first two rows.
m = (y2-y1)/(x2 - x1)
m = (0.8 - 2)/(2 - 0)
m = -0.60
Comparing -0.57 and -0.60, we see that -0.57 is closer to zero on the number line. Meaning that function 1 has the less steep slope (i.e. more shallow slope). The further you go away from zero on the number line, in either direction, the slope will get steeper.
0.2 x 40
=8
(change the percentage to a decimal)
Answer: B
<u>Step-by-step explanation:</u>
Evaluate each choice. Notice that f(x) is a positive parabola with vertex at (-3, -49) and g(x) is exponential growth.
A) False
rate of f(x) decreases and rate of g(x) increases. So, f(x) > g(x)
B) True
y-intercept of f(x) is -40 and y-intercept of f(x) is 20. So, f(x) < g(x) Note: the y-intercept is when x = 0
C) False
f(x) is decreasing before the vertex and increasing after the vertex. g(x) is increasing because it is exponential growth.
D) False
f(1) =13.3 (when x = 1) and g(-1) = -33 (when x = -1). So, f(1) > g(-1)
