You are given two points in the linear function. At time 0 years, the value is $3000. At time 4 years, the value is $250. This means you have points (0, 3000) and (4, 250). You need to find the equation of the line that passes through those two points.

y = mx + b

m = (y2 - y1)/(x2 - x1) = (3000 - 250)/(0 - 4) = 2750/(-4) = -687.5

Use point (0, 3000).

3000 = -687.5(0) + b

b = 3000

The equation is

y = -687.5x + 3000

Since we are using points (t, v) instead of (x, y), we have:

v = -687.5t + 3000

Answer: d. v = -687.50 t + 3,000

6 0

2 years ago

There are 220 students in the seventh grade, and 10% are in the Environmental Club. How many students are in the Environmental C

siniylev [52]

Answer:

22 students are in the environmental club

Step-by-step explanation:

220 / 10 = 22

7 0

2 years ago

Simplify 2- 5/8 and -2 3/5 A. -6 33/40 B. 4- 3/8 C. 4 3/8 d. 6 33/40

worty [1.4K]

Answer:

Step-by-step explanation:

Convert mixed fraction to improper fraction.

$-2\dfrac{5}{8}*(-2\dfrac{3}{5})=\dfrac{-21}{8}*\dfrac{-13}{5}\\$

$=\dfrac{(-21)*(-13)}{8*5}\\\\\\=\dfrac{273}{40}\\\\=6\dfrac{33}{40}$

4 0

1 year ago

−4x + y = 6<br> −5x − y = 21

Scorpion4ik [409]

You have in the first equation "+y" and in the second "-y"
So, you add the 2 equations, so we can remove this 2 letters since they're opposite numbers.
So, we get:
-4x + y -5x - y = 21 + 6
-4x -5x = 21 + 6

Then, you add
-4x -5x = 21 + 6
-9x = 27

Then, you move the -9 to the other part, next to the 27. And since it was a multiplication, it becomes a division.
x = $-\frac{27}{9}$
$x = -3$

Then, you choose an equation of the system, and you replace x by it's value so you can find y. I'll take the first equation.

-4x + y = 6
-4*-3 + y = 6
12 + y = 6

Then, you move 12 to the other part next to the 6. And since it was a positive number, it becomes a negative number.
So
y = 6 - 12
y = -6

So, the solution of the proposed system <span>is (x;y) = (6;-6)
x = 6
y = -6

Hope this Helps :)

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6 0

2 years ago