a) It costs $0.1 for each kilowatt hour of electricity used in excess of 250 kWh.
b) f(90) = 46.6, which is the cost of 340 kWh of consumption in a month.

------------------------------

A linear function has the format given by:

$y = mx + b$

In which:

m is the slope, which is the rate of change, that is, how much y changes when x changes by 1.
b is the y-intercept, which is the value of y when x = 0.

The equation for the cost of h kilowatt hours (kWh) of electricity used in excess of 250 kWh is of:

$C = f(h) = 37.6 + 0.1h$

Item a:

The slope is of $m = 0.1$ , which means that it costs $0.1 for each kilowatt hour of electricity used in excess of 250 kWh.

Item b:

$f(90) = 37.6 + 0.1(90) = 37.6 + 9 = 46.6$

250 + 90 = 340.

f(90) = 46.6, which is the cost of 340 kWh of consumption in a month.

A similar problem is given at brainly.com/question/24808124

8 0

2 years ago

The formula for the perimeter of a rectangle is P = 2L + 2W. The length of a rectangle is 3 times its width. Which expression re

omeli [17]

The perimeter of a rectangle is given by the following formula: P = 2W + 2L

To solve this formula for W, the goal is to isolate this variable to one side of the equation such that the width of the rectangle (W) can be solved when given its perimeter (P) and length (L).

P = 2W + 2L

subtract 2L from both sides of the equation

P - 2L = 2W + 2L - 2L

P - 2L = 2W

divide both sides of the equation by 2

(P - 2L)/2 = (2W)/2

(P - 2L)/2 = (2/2)W

(P - 2L)/2 = (1)W

(P - 2L)/2 = W

Thus, given that the perimeter (P) of a rectangle is defined by P = 2W + 2L ,

then its width (W) is given by W = (P - 2L)/2

3 0

3 years ago

I need some help please

Mama L [17]

Answer: 4

4 is the correct answer

5 0

3 years ago