Mathematics, 21.11.2019 08:31 cvalentine3199

Bought a new car in 2011 for 25000. in 2015, joe was offered a fair price of 12000 for his car but he turned it down. build a linear algebraic model, that joe find the car's value when it is t years old

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Answer from: kitam2871

y=-3,250t+25,000

Step-by-step explanation:

we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the slope of unit rate of the linear equation

b is the y-intercept or initial value of the linear equation

Let

t ----> the number of years since 2011

y --->the car's value

In this problem the year 2011 represent t=0

the year 2015, represent t=4 years (2015-2011)

we have the ordered pairs

(0,25,000) ----> represent the y-intercept

(4,12,000)

Find the slope m

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{t2-t1}$

substitute the values

$m=\frac{12,000-25,000}{4-0}$

$m=\frac{-13,000}{4}$

$m=-\$3,250\ per\ year$ ---> is negative because is a decreasing function

we have

$b=\$25,000$ ----> value of y when the value of x is equal to zero (initial value)

substitute the given values

y=-3,250t+25,000

Answer from: Catracho3619

y = -3250t + 25000

Explanation:

Assuming the years between 2011-2015 to be a straight line

We know that, for a straight line, y = mx + c,

Where, m is slope of unit rate

c is the y-intercept

Consider t to be the no. of years since 2011 and y to be the car’s value

So, for 2011, t=0

And for 2015, t=4 (2015-2011)

Finding the slope m

m = $\frac{y^{2}-y 1}{t 2-t 1}$

m = $\frac{12000-25000}{4-0}$

m = - $\frac{13000}{4}$ = -3250 per year (negative because it is a decreasing function)

We have, c = 25000

Substituting the values in the straight line equation,

y = -3250t + 25000

Answer from: Quest

answer: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

step-by-step explanation: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

Answer from: Quest

The correct answer is -3.9> -4.5 gucci playa

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