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VikaD [51]
3 years ago
11

⦁ How can a table be used to find the rate of change and the initial value? Describe the process.

Mathematics
1 answer:
BARSIC [14]3 years ago
8 0

1) Table can be used to find the rate of change and the initial value5

x ------> y

0 -------> 3

1 ------> 5

2 ------> 7

Rate of change (Slope) = \frac{Change in y}{Change in x}

=\frac{ 7 - 5}{2 - 1}

= 2/1 = 2

Rate of change = 2

Y intercept is the point where x=0

So y = 3 from the table.

2) Attached the graph of a line

Rate of change = \frac{Change in y(Rise)}{Change in x} (run)

= \frac{2}{1} = 2

3) slope = \frac{2}{3} and a y-intercept = 7

Equation of a line y= mx + b

Where m is the slope and b is the y intercept

Replace slope m and y intercept

m= 2/3, b= 7

Equation of a line : y = \frac{2}{3} x + 7

4) Carson has $450 in his bank account and deposits $70 per month out of his babysitting money.

Initial amount in the bank (y intercept) b= $450

Deposited amount = 70 that is the slope m= 70

So the equation y = mx+ b , where x is the month

y = 70x + 450

Carson’s bank balance f(x) = 70x + 450

5) the graph of straight line is linear. In the graph x<1 that is (-infinity , 1) is linear.

The graph with curved line is non linear.In the graph x>1 that is (1, infinity ,) is non linear.

The graph is attached below.

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Consider the system of equations.
anzhelika [568]

Answer: You can multiply the top equation by -1 to eliminate the x variable.

And the solution is (2,4/3)  in case you need it.

Step-by-step explanation:

2x + 3y = 8

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If you multiply the upper equation or down equation by one, you will be able to eliminate the x variable.

-1( 2x + 3y) = -1(8)     New equation:   -2x -3y  = -8.

Add the new equation you got  by multiplying the top equation by -1 to the bottom equation.

Add them:     -2x -3y = -8

                      2x + 6y = 12  

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                              y = 4/3

You can now input the value for y into the one of the equations and solve for x.

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