If we let x as the number of years of service in the company and f(x) as the increase in the wage, the step wise function that describes the scenario is
f(x) = { 0.5, x < 3
{ 1.0, 3 ≤ x < 6
{ 1.5, 6 ≤ x < 9
{ 2.0, 9 ≤ x < 12
The point (2, 12) represents the wage increase of x < 12
Answer:
y = 16x + 6
Step-by-step explanation:
They charge $14 for each DVD, which mean the slope of the function is 14
You must pay an additional $6 for shipping and handling, which means no matter how many DVD you buy, you have to pay a flat fee for $6
So our function is:
y = 16x + 6 where:
y is total cost
x is the number of DVD you buy (x>0)
Step-by-step explanation:
21:18=7:6
42:36=7:6
63:54=7:6
Answer:

Graph in the image attached.
Step-by-step explanation:
Using the model of a linear equation, we have:

'b' is the y-intercept of the equation, that is, the inicial value of G, when D = 0.
So if David starts the trip with 14 gallons of gas, we have b = 14.
'a' is the slope of the line, that is, an increase of 1 in the value of D causes an increase of 'a' in the value of G.
So if the car uses one gallon every 20 miles, the value of a is -1/20 (an increase of 20 in D causes a decrease of 1 in G).]
So our equation is:

The graph of this equation is in the image attached.
The sales tax $950 item would be $57. Hope this helps!