Amy will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $38 and costs an additional $0.12 per mile driven. The second plan has an initial fee of $51 and costs an additional $0.08 per mile driven.

The first plan would be cheaper

Step-by-step explanation:

Lets say she drives 12 miles. Write an equation y=0.12x+38 then substitute the x with 12:

y=0.12(12)+38

y=1.44+38

y=39.44

Now you have to write a new equation for the second plan y=0.08x+51 and substitute x with 12:

y=0.08(12)+51

y=.96+51

y=51.96

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0