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tiny-mole [99]
3 years ago
14

You have 500 sheets of notebook paper. After 1 week, you have 72% of the sheets left. You use the same number of sheets each wee

k. Write an equation in slope-intercept form that represents the number y of pages remaining after x weeks.
Mathematics
1 answer:
NISA [10]3 years ago
7 0
You use 28% of your available sheets
28% = .28
500 x .28 = 140 sheets used

(0,500) (1,360)

m = 360-500/1-0
m = -140

y = -140x + 500

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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
3 years ago
What are the measures of angles a,b, and c? Show your work and explain your answers.
Virty [35]

Answer:

c is 110 degrees

b is 70 degrees

a is 20 degrees

Step-by-step explanation:

for c, 180-70=110

for b, 180- angle c=180-110=70

for a, 180-90-angle b=180-90-70=20

8 0
2 years ago
Read 2 more answers
PLEASE HELP ME!!! Preferably ASAP! WILL MARK AS BRAINLIEST IF CORRECT!!!
Colt1911 [192]
The answer is B (70 and 20 degrees)
8 0
3 years ago
Were there leftovers?
KengaRu [80]

I dont know, but someone ate my lefts overs >:(

7 0
2 years ago
Read 2 more answers
Can some one help, step bye step please
il63 [147K]

Answer:

$14.23

Step-by-step explanation:

Multiply the original value by 1.035 to get your answer.

4 0
3 years ago
Read 2 more answers
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