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1 year ago

Find the equation of the linear function represented by the table below in slope-intercept form.

Mathematics

2 answers:

OLEGan [10]1 year ago

7 0

Answer:

y = 8x+7

Step-by-step explanation:

firstly reduce the equation to an arithmetic series starting from the 0th term so:
7, 15, 23, 31, 39....

Secondly, identify the common difference: 8
we now know that the answer must contain 8x

Thirdly, form the equation 8x + c = y where y is a constant. Afterwards insert the values of any given x and y so:
8*0 + c = 7
c = 7
Thusly we now know that the series and thus equation is 8x+7 = y

masha68 [24]1 year ago

5 0

Answer:

y = 8x + 7

Step-by-step explanation:

the equation of a linear function in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = $\frac{y_{2-y_{1} } }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (1,15) and (x₂, y₂ ) = (2, 23) ← 2 ordered pairs from the table

m = $\frac{23-15}{2-1}$ = $\frac{8}{1}$ = 8

the ordered pair (0, 7 ) indicates c = 7

y = 8x + 7 ← equation of linear function

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Troyanec [42]

Answer:

$d=5t+20$

Step-by-step explanation:

The equation that will model this situation will be of the form

$d=mt+b$

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Now we know that John has already traveled 20 miles when he is at the gas station, this means at $t=0$ , $d=20$ ; or

$20=m(0)+b$

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Thus we have

$d=mt+20$ .

Now we need to figure out $m.$

When John reaches home 2 hours later he notes that he has traveled 30 miles, which means he has traveled 30 - 20 = 10 miles; thus we have

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$\boxed{m=5}$

Now we have the full equation:

$\boxed{d=5t+20}$

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3 years ago

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Answer:

Step-by-step explanation:

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2 years ago

What is slope intercept form?

Leokris [45]

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Step-by-step explanation:

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3 years ago

Read 2 more answers

I'm stuck on a question. I just need help for one and I think I could do the rest if I understand it.(the got it part, not the e

otez555 [7]

Answer:

Completing the table, we have;

Explanation:

Given the equation;

$y=2x-1$

where y is the output and x is the input.

we were given the outputs 1,3,5.

To get the input for each of the given output let us substitute the output into the equation and solve for x;

$\begin{gathered} \text{for output = 1;} \\ 1=2x-1 \\ 1+1=2x \\ 2=2x \\ x=\frac{2}{2} \\ x=1 \end{gathered}$ $\begin{gathered} \text{for output = 3 ;} \\ 3=2x-1 \\ 3+1=2x \\ 4=2x \\ \frac{4}{2}=x \\ x=2 \end{gathered}$ $\begin{gathered} \text{for output = 5;} \\ 5=2x-1 \\ 5+1=2x \\ 6=2x \\ \frac{6}{2}=x \\ x=3 \end{gathered}$

Therefore, completing the table, we have;

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1 year ago

The sum of two numbers is 76 and their difference is 54. Find each of the numbers.

Anna [14]

Answer:

The numbers are 11 and 65

Step-by-step explanation:

11 + 65 = 76

65 - 11 = 54

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4 years ago