The table below represents a linear function f(x) and the equation represents a function g(x):

x f(x)
−1 −5
0 −1
1 3
g(x)

g(x) = 4x + 3

Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)

Part B: Which function has a greater y-intercept? Justify your answer. (4 points)

(10 points)

PART A:

Finding the slope of the function f(x)

Choose any two pairs of coordinate from the table; (-1, -15) and (0, -10)

Let (-1, -15) be (x₁, y₁) and (0, -10) be (x₂, y₂)

Slope =

Slope of f(x) = 5

The function g(x) is given in the straight line equation form

Where,  is the slope and  is the y-intercept

Slope of g(x) = 2

g(x) = 2x + 8

Where, the slope (m) = 2 and the y-intercept (c) = 8

The y-intercept of g(x)  is 8

for f(x), we can read the y-intercept when x = 0.

From the table, when x = 0, y = -10

The y-intercept of f(x) is -10

Function g(x) has higher y-intercept

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°

costs the what? what is the cost of the pants?

step-by-step explanation:

if it is $10, then the price is 14.

take 40% of the cost, and then add the cost.

40% of 10 = 4

4+10 = 14.