What is the equation to this?

Mathematics

2 answers:

Fiesta28 [93]3 years ago

7 0

THE EQUATION TO THIS PROBLEM IS y=2x+12

Kamila [148]3 years ago

7 0

Answer:

slope: 2

y intercept: 12

equation: y = 2x + 12

Step-by-step explanation:

Slope is change in y over change of x. You can use any two coordinates from the table, but I will use the first two,

(y1-y2)/(x1-x^2) = (14-12)/(1-0) = 2/1 = 2.

This means that the slope is 2.

Y-intercept is the y value of a coordinate that has the x value of 0. The coordinate (0,12) tells us that 12 is the y-intercept.

Equation: y = mx + b

Plug in the slope and y-intercept into the equation and you will get y = 2x + 12

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Amrita bought a new delivery van for $32,500. The value of this van depreciates at a rate of 12% each year. Write a function f(x

FrozenT [24]

Answer:

The function, f(x) to model the value of the van can be expressed as follows;

$f(x) = 32,500 \times \left(0.88\right)^x$

Step-by-step explanation:

From the question, we have;

The amount at which Amrita bought the new delivery van, PV = $32,500

The annual rate of depreciation of the van, r = -12% per year

The Future Value, f(x), of the van after x years of ownership can be given according to the following formula

$f(x) = PV \cdot \left(1 + \dfrac{r}{100} \right)^x$

Therefore, the function, f(x) to model the value of the van after 'x' years of ownership can be expressed as follows;

$f(x) = 32,500 \cdot \left(1 - \dfrac{12}{100} \right)^x = 32,500 \cdot \left(0.88\right)^x$

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