Question

The number of a certain company's video stores can be approximated by the linear equation y= -264x+4682, where x is the number of years after 1990.
Find the missing coordinate for the ordered pair solution (7,?)

-What's the y-interpret and x-interpret?

Answer 1

Answer:

Missing co-ordinate for the ordered pair is $(7,2834)$

Y-intercept is $(0,4682)$

X-intercept is $(17.73,0)$

Step-by-step explanation:

The number of a certain company's video stores can be approximated by the linear equation

$y= -264\ x+4682$

where $y$ is the number of stores and $x$ represents the number of years after 1990.

To find the missing co-ordinate for the ordered pair solution $(7,?)$

For the ordered pair, we are given the $x$ value which is =7 i.e 7 years after 1990. Thus we will plugin $x=7$ in the linear equation to get the $y$ value which is number of stores after 7 years from 1990.

$y= -264\ (7)+4682$

$y= -1848+4682$

$y= 2834$

Thus the ordered pair is $(7,2834)$

To find y-intercept which is the point where the line touches the y-axis, we would plugin $x=0$ in the equation as the x-coordinate is 0 at y-axis.

$y= -264\ (0)+4682$

$y= 0+4682$

$y=4682$

Thus y-intercept is at point $(0,4682)$

To find x-intercept which is the point where the line touches the x-axis, we would plugin $y=0$ in the equation as the y-coordinate is 0 at x-axis and thus for $x$

$0= -264\ x+4682$

Subtracting both sides by 4682.

$0-4682= -264\ x+4682-4682$

$-4682= -264\ x$

Dividing both sides by -264

$\frac{-4682}{-264}= \frac{-264\ x}{-264}$

$17.73= x$

∴ $x=17.73$

Thus x-intercept is at point $(17.73,0)$