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Fynjy0 [20]
3 years ago
15

Which graph represents the function f(x)=3*5^x ?

Mathematics
1 answer:
velikii [3]3 years ago
8 0

Evaluate the given function at x=1:

<span><span>f<span>(1)</span></span>=<span><span>log10</span><span>(1)</span></span>+2</span>

<span><span>f<span>(1)</span></span>=0+2</span>

<span><span>f<span>(1)</span></span>=<span>2</span></span>

<span><span>THIRD ONE</span></span>

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​Joe's annual income has been increasing each year by the same dollar amount. The first year his income was ​$17 comma 90017,900
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In 17th year, his income was $30,700.

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Income in first year = $17,900

Income in 4th year = $20,300

Let y be the income at x year.

It means the line passes through the point (1,17900) and (4,20300).

If a line passes through two points (x_1,y_1) and (x_2,y_2), then the equation of line is

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

The equation of line is

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y-17900=800x-800

Add 17900 on both sides.

y=800x-800+17900

y=800x+17100

The income equation is y=800x+17100.

Substitute y=30,700 in the above equation.

30700=800x+17100

Subtract 17100 from both sides.

30700-17100=800x

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Divide both sides by 800.

\frac{13600}{800}=x

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Therefore, in 17th year his income was $30,700.

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