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3 years ago

Find the slope of each line then tell what the slope represents

1 answer:

3 0

1. find slope
x=tickets sold
y=money made
slope=(y2-y1)/(x2-x1)
take any point
(5,23.75) and (10,47.50)
input (note, (x,y))
(47.50-23.75)/(10-5)=23.75/5=4.75
slope=4.75
y=mx+b
m=slope
b=yintercept
y=4.75x+b
input
47.5=4.75(10)+b
47.5=47.5+b
b=0

equation is y=4.75x
if ticket sold is 24 then x=24
y=4.75(24)
y=114
answer is $114

2. points
(0,56.00) and (3,45.5)
slope=(y2-y1)/(x2-x1)
slope=(45.5-56.00)/(3-0)=-3.5
y=-3.5x
slope=-3.5
logic it yourself
equation is
y=-3.5x+0
y intercept is when x=0 so when the start of it was or when time=0
x intercept is when y=0 is when he has no money left

1.a. rate of change=4.75
   b. $114

2. a.do this yourself, (desmos graphing calculator)
   b. slope=-3.5 (duh, means money goes down with time)
   c. equaiton is y=-3.5x+0, xint meanss when he has no money, y int means when time=0 or when it started

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3 years ago

Sandra's scores on the first 4 tests were 87%, 92%, 76%,and 89%. What is the minimum score she needs to make on the fifth test s

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Answer:

Sandra need to score at least 56% in her fifth test so that her average is 80%.

Step-by-step explanation:

Given:

First 4 test scores = 87%, 92%, 76%,89%

Average targeted = 80%

We need to find the minimum score she needs to make on fifth test to achieve average of at least 80%.

Solution:

Let the minimum score she needs to make in fifth test be 'x'.

Total number of test = 5

Now we know that;

Average is equal to sum of all the scores in the test divided by number of test.

framing in equation form we get;

$\frac{87+92+76+89+x}{5}=80$

Multiplying both side by 5 we get;

$\frac{344+x}{5}\times 5=80\times 5\\\\344+x=400$

Subtracting both side by 344 we get;

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3 years ago

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2 years ago

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I NEED HELP IDENTIFYING THE SLOPE PLEASE !!! Pic attatched !!!!

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Answer:

see explanation

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = 2,4 ) and (x₂, y₂ ) = (5, 1)

m = $\frac{1-4}{5-2}$ = $\frac{-3}{3}$ = - 1 ← negative slope

Repeat

with (x₁, y₁ ) = - 7,8) and (x₂, y₂ ) = (- 7, 0)

m = $\frac{0-8}{-7+7}$ = $\frac{-8}{0}$

Division by zero is undefined, thus slope is undefined.

Repeat with

(x₁, y₁ ) = (6, - 3) and (x₂, y₂ ) = (- 4, - 3)

m = $\frac{-3+3}{-4-6}$ = $\frac{0}{-10}$ = 0 ← zero slope

Repeat with

(x₁, y₁ ) = (3, 5) and (x₂, y₂ ) = (- 1, 2)

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3 years ago