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dusya [7]
3 years ago
15

Alisa buys a watermelon every year. The first time she bought a watermelon, it cost $2.50. She notices the price is getting more

expensive, at a rate of 3% per year. Alisa sketches a graph of the situation, labeling the y-intercept and the point representing the price in Year 4. Which statements are true?
The point ​ (4, 2.62)(4, 2.62) ​ is on the graph.The graph decreases from left to right.The point  (4, 2.81)(4, 2.81)   is on the graph.The graph has an x-intercept and a y-intercept.The graph has a y-intercept only.The graph increases from left to right.
Mathematics
2 answers:
MatroZZZ [7]3 years ago
5 0
The correct answers are the graph has a y-intercept only, t<span>he point  (4, 2.81) is on the graph, and the graph increases from left to right. Hope this helps!</span>
defon3 years ago
4 0
This is the exponential function:
y = 2.50 * 1.03^x
For x = 4:
f ( 4 ) = 2.50 * 1.03^4 = 2.50 * 1.1255 = 2.81
Answer:
- The point ( 4, 2.81 ) is on the graph.
- The graph has a y- intercept only.
- The graph increases from left to right. 
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Re-write the equation without the h component.
levacccp [35]

Answer:

f(x) = 2[\frac{3^x}{9}] + 2

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Step-by-step explanation:

Given

f(x) = 2(3)^{x-2} + 2

f(x) = \frac{1}{2}(4)^{x+2}

Required

Remove the h component

In a function, the h component is highlighted as:

f(x) = a^{x+h}

So, we have:

f(x) = 2(3)^{x-2} + 2

Split the exponents using the following law of indices:

a^m/a^n = a^{m-n}

f(x) = 2*\frac{3^x}{3^2} + 2

f(x) = 2*\frac{3^x}{9} + 2

f(x) = 2[\frac{3^x}{9}] + 2

<em>The h component has been removed</em>

f(x) = \frac{1}{2}(4)^{x+2}

Split the exponent using the following law of indices

a^{m+n} =a^m * a^n

So, we have:

f(x) = \frac{1}{2}(4)^x * 4^2

Express 4^2 as 16

f(x) = \frac{1}{2}(4)^x * 16

Divide 16 by 2

f(x) = 8(4)^x

3 0
3 years ago
What is 0.003 as a percent.
Paul [167]
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Lubov Fominskaja [6]
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What would be the answer?
zmey [24]

Answer:

6

Step-by-step explanation:

To breakeven means that you made exactly as much money as you spent, so if you spent $50 to make lemonade, you would need to make $50 in profits from selling to break even

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