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3 years ago

Write the slope intercept form of the equation for the line that is described in the following function table.

Mathematics

1 answer:

Elenna [48]3 years ago

7 0

Answer:

y=mx+b

m = slope

b = y-intercept

To find slope we use the equation, change in y divided by the change in x. Let's use points (2, 2) and (3, 1).

(2-1) / (2-3) = -1

Meaning our slope is -1 and it will be going down.

Next, we have to find the y-intercept which is the value of y when x=0. When x is 0 y will be 4.

y=-1x+4

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2 years ago

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Hope this helps! :)
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2 years ago

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gladu [14]

Answer:

$\boxed{\textsf{ The correct option is \textbf{ option C } . }}$

Step-by-step explanation:

Given that Sara bought a car for $ 23,000 . The interest of loan is 2 .5% . And we need to write a equation g(t) to represent the amount of money that she will owe after t years. Also the amount is compound annually . We know the formula of CI as ,

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$\qquad\boxed{\boxed{ \sf CI =Amount\bigg( 1 +\dfrac{Rate}{100}\bigg)^{(time)} }}$

Let us take that ,

$\sf\implies f(x)=g(t)$

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$\sf\implies f(x) = Amount\bigg( 1 +\dfrac{Rate}{100}\bigg)^{(time)} \\\\\sf\implies f(x)= 23,000 \bigg( 1 + \dfrac{2.5}{100}\bigg)^t\\\\\sf\implies f(x)= 23,000 \bigg( 1+\dfrac{25}{1000}\bigg)^t \\\\\sf\implies \boxed{\pink{\frak{ f(x)= 23,000 ( 1+0.025)^t }}}$

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