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Savatey [412]
2 years ago
15

Graphing/Slopes (Easy points!!) (ASAP) (URGENT) (Please check my other questions)​

Mathematics
1 answer:
spin [16.1K]2 years ago
4 0

Answer:

The statement is incorrect because an inverse relationship between y and x would imply that the graph would be a downward curved graph whose slope changes rather than linear which has constant slope  (see image).

Best to express this situation as:
There is a linear relationship between y and x with a negative constant slope. The keyword here is constant since the slope is the same in a linear relationship

Step-by-step explanation:

An inverse relationship exists between y and x when y is proportional to the reciprocal of y

This would be expressed in the form y ∝ \frac{1}{x}

As x decreases , y increases or vice-versa. It is often expressed in equation form as y=\frac{k}{x}  or y = kx^{-1}   where k is a constant and  whose graph is curved in nature. The slope is changing for the range of x values not constant as would be the case for a linear graph

All we can say about the data is that there is a linear relationship between y and x  with a negative constant slope

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A total of $6000 was invested, part of it at 3% interest and the remainder at 8%. If the total yearly interest amounted to $380,
Nastasia [14]

$ 2000 is invested at 3 % interest and $ 4000 is invested at 8 % interest

<em><u>Solution:</u></em>

Given that, total of $6000 was invested

Let "x" be the amount invested at 3 % interest

Then, (6000 - x) is the amount invested at 8 % interest

Given that,

<em><u>The total yearly interest amounted to $380</u></em>

Then, we can frame a equation as:

x \times 3 \% + (6000 - x) \times 8 \% = 380

<em><u>Solve the above expression for "x"</u></em>

x \times \frac{3}{100} + (6000-x) \times \frac{8}{100} = 380\\\\0.03x + (6000-x) \times 0.08 = 380\\\\0.03x + 480 - 0.08x = 380\\\\-0.05x = -100\\\\\text{Divide both sides by -0.05 }\\\\x = 2000

Thus, $ 2000 is invested at 3 % interest

(6000 - x) = 6000 - 2000 = 4000

$ 4000 is invested at 8 % interest

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