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2 years ago

Every square meter of solar paneling produces 0.2 kilowatts of electricity. Which of the following models this situation?

Mathematics

1 answer:

maksim [4K]2 years ago

5 0

Answer:

B) linear function with a positive rate of change

Step-by-step explanation:

Each increase by 1 m^2 in area produces the same 0.2 kW increase in power, so the relationship between area and power is linear. Since they both go up (or both go down), the "rate of change" is positive. (If it were negative, one would go down when the other went up.)

The best description is that of B.

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X y

Darina [25.2K]

Answer:

Part 1) The rate of change is $\frac{17}{15}$

Part 2) The initial value is 68

Part 3) The function rule to the linear model is $y=\frac{17}{15}x+68$

Step-by-step explanation:

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope or unit rate

b is the y-intercept or initial value

step 1

Find the slope

take two points from the table

(0,68) and (15,85)

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{85-68}{15-0}$

$m=\frac{17}{15}$

In a linear function , the slope is the same that the rate of change

therefore

The rate of change is $\frac{17}{15}$

step 2

Find the y-intercept

we know that

The y-intercept is the value of y when the value of x is equal to zero

Looking at the table

For x=0, y=68

therefore

The y-intercept is

$b=68$

The y-intercept is also called the initial value

therefore

The initial value is 68

step 3

Determine the function rule to the linear model

$y=mx+b$

we have

$m=\frac{17}{15}$

$b=68$

substitute

$y=\frac{17}{15}x+68$

8 0

2 years ago

Please help with all 3 questions and show all work thank you.

Bumek [7]

1. 8+8=16
15+15=30
30+16=46-perimeter
15*8=120-area
2.well the slope is 3/4 but i don't know the distance
3.y(13, -6)

5 0

3 years ago

Read 2 more answers

A boy rides his bike at a speed of 28 miles per hour. How

sergejj [24]

Answer:

About 4 hours.

Step-by-step explanation:

Let's set up a proportion and cross multiply.

$\frac{28 miles}{1 hour} = \frac{120 miles}{x}$

Cross multiply.

120 = 28x

Divide by 28 on both sides.

= 4.28571428571

Round this to the nearest whole number, which is just 4. The answer is about 4 hours.

6 0

1 year ago

Ethan is saving money in his piggy bank for his upcoming trip to Disney World. On the first day, he put in $12 and plans to add

PSYCHO15rus [73]

Answer:

12+7x=a

x=days

a=amount of money

B 12+7x=a

Step-by-step explanation:

7(18)=126

12+126=a

138=a

7 0

2 years ago

Read 2 more answers

2х - Зу = – 24<br>put it in slope form

aliina [53]

2x divided by -24 and -3y divided by -24 then find ur X and Y

6 0

2 years ago