contestada

2. The graph shows the amount of a chemical in a water sample. It is decreasing
exponentially
Find the coordinates of the points labeled
4. B. and C. Explain your reasoning.
1.200
T(0, 1000)
To
(1.800)
800
A
chemical (mg)
8
8
╨б
.
2.
3 4 5 6 7 8
time (hours)

2 The graph shows the amount of a chemical in a water sample It is decreasing exponentially Find the coordinates of the points labeled 4 B and C Explain your re class=

Respuesta :

MrRoyal

The graph is an illustration of an exponential function

The coordinates at points A, B and C are (2,640), (3,512) and (4,409.6)

How to determine the missing coordinates

An exponential function is represented as:

[tex]y = ab^x[/tex]

At point (0,1000), we have:

[tex]ab^0 = 1000[/tex]

This gives

[tex]a = 1000[/tex]

At point (1,800), we have:

[tex]ab^1 = 800[/tex]

This gives

[tex]ab = 800[/tex]

Substitute 1000 for a

[tex]1000b = 800[/tex]

Divide both sides by 1000

[tex]b = 0.8[/tex]

Recall that:[tex]y = ab^x[/tex]

So, we have:

[tex]y =1000(0.8)^x[/tex]

At point A, we have: x = 2.

So, the equation becomes

[tex]y =1000(0.8)^2[/tex]

[tex]y =640[/tex]

At point B, we have: x = 3.

So, the equation becomes

[tex]y =1000(0.8)^3[/tex]

[tex]y =512[/tex]

At point C, we have: x = 4.

So, the equation becomes

[tex]y =1000(0.8)^4[/tex]

[tex]y =409.6[/tex]

Hence, the coordinates at points A, B and C are (2,640), (3,512) and (4,409.6)

Read more about exponential functions at:

https://brainly.com/question/11464095

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