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iris [78.8K]
3 years ago
9

The table represents a liner function. What is the slope of the function?

Mathematics
2 answers:
QveST [7]3 years ago
7 0
The answer is 3, hope this helps
Liono4ka [1.6K]3 years ago
5 0

Answer:

The slope is 3.

Step-by-step explanation:

Let's use the slope formula to calculate the slope of this function. Remember, slope equals rise over run, or the difference between y coordinates divided by the difference between x coordinates of 2 points on the graph.

Let's use the last 2 points in the table: (1, 7) and (2, 10)

\frac{y_{2} - y_{1} }{x_{2} - x_{1} }

= \frac{10 - 7}{2 - 1}

= \frac{3}{1}

The slope of this function is 3!

Hope this helps :) Feel free to ask me any questions!

You might be interested in
The function ƒ(x ) = -3x + 5 is represented by which set of ordered pairs?
ozzi

Answer:

The correct answer is the first set {(-1, 8), (0, 5), (2, -1), (3, -4)}

Step-by-step explanation:

In order to determine if the set works, input each ordered pair to see if the statement ends up true. The first two ordered pairs are done below.

(-1, 8)

f(x) = -3x + 5

8 = -3(-1) + 5

8 = 3 + 5

8 = 8 (TRUE)

(0, 5)

f(x) = -3x + 5

5 = -3(0) + 5

5 = 0 + 5

5 = 5 (TRUE)

6 0
3 years ago
Read 2 more answers
Kevin and Joaquim had a total of $620. Joaquim had $100 more than Kevin. How much money did Kevin have?
Fantom [35]

Answer:

$260

Step-by-step explanation:

620-100=520 ( to make both of them equal)

520÷2=$260

Hope this helps! Thanks.

6 0
3 years ago
Jaxon has $65 in his savings account. He deposits $15 every week. His father also deposits $25 into the account every time Jaxon
Grace [21]
Part A:
A coefficient can be either '15' or '25'.
A variable can be either 'w' or 'm'.
A constant is 65.

Part B:
Simply substitute, or plug-in, the numbers and solve.
***Step 1:
65+15w+25m --> 65+15(20)+25(3)
You do this because you are substituting the 'w' for the number
of weeks that Jaxon saved up for, which is 20, and the 'm' for the number
of times that Jaxon mowed the lawn, which is 3.
***Step 2:
65+15(20)+25(3) --> 65+300+75
Begin to solve, using PEMDAS, or whichever acronym you learned.
Remember, if you are using PEMDAS, recall that the order is Parenthesis,
Exponents, Multiplication/Division (whichever comes first), and
Addition/Subtraction (whichever comes first). Here, I checked for parenthesis.
I did find parenthesis, however, they do not have any expressions inside of
them, meaning that these parenthesis are for multiplying, and not for stating
order. So, you skip parenthesis. Next, you check for exponents, which you
find none of, so you skip over that. Now, we get to multiplying/dividing, so
you multiply the 15 and the 20 to get 300, and the 25 and 3 to get 75.
***Step 3:
65+300+75 --> 440
Now, we get to addition. You simply add everything up to get your final
answer: $440.

Part C:
If Jaxon had $75, then yes, the coefficients would change.
By subtracting $65 from $75, we can see that the total amount of money
from Jaxon's deposits and his lawn-mowing money is $10. Jaxon already
deposits $15 a week, meaning that, while using the current equation, Jaxon
CANNOT have $75 in his bank account. We can change the equation
so that Jaxon is able to have $75 in his savings account. You can change
the coefficient of 15 to 10, and the other coefficient of 25 to 0.
Now Jaxon is able to have $75 in his savings account.
8 0
3 years ago
Kathy uses 7.8 pints of white paint and blue paint to paint her bedroom walls. 3/4
mel-nik [20]

Answer:

1.95

Step-by-step explanation:

8 0
3 years ago
Write a linear function f with f(0)=7 and f(3)=1.
choli [55]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

a = ( 0 , 7 ) & b = ( 3 , 1 )

First need to find the slope using the following equation :

slope =  \frac{y(b) - y(a)}{x(b) - x(a)}  \\

slope =  \frac{1 - 7}{3 - 0}  \\

slope =  \frac{ - 6}{3}  \\

slope =  - 2

_________________________________

We have following equation to find the point-slope form of the linear functions using the slope and one of the through points .

y - y(0) = m \times ( \: x - x(0) \: )

x(0) = x - coordinate \:  \: of  \:  \: through \:  \: point \\

y(0) = y - coordinate \:  \: of \:  \: through \:  \: point \\

m = slope

I choose point (( a )) to put in the equation.

y - 7 =  - 2 \times (x - 0)

y - 7 =  - 2x  + 0

y - 7 =  - 2x

Add sides 7

y - 7 + 7 =  - 2x + 7

y =  - 2x + 7

This the slope-intercept form .

Done...

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

7 0
2 years ago
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