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deff fn [24]
3 years ago
11

The cost of t-shirts varies directly with the number of t-shirts. The data is shown in the graph. If x = is number of t-shirts,

and y = the cost, which equation models Bill's direct variation?
A) y = 11x
B) y = 5.5x
C) y = 11 + x
D) y = 5.5 + x
Thanks

Mathematics
2 answers:
Bad White [126]3 years ago
7 0

Answer:

y = 5.5x

Step-by-step explanation:

y = 5.5x is correct. Multiply number of t-shirts by 5.5 to equal the total cost.

Lera25 [3.4K]3 years ago
3 0
The answer is y = 5.5x, so B
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By the power rule,

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By the quotient rule,

y=\dfrac{x+5}{x^2+3}\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{(x^2+3)\frac{\mathrm d(x+5)}{\mathrm dx}-(x+5)\frac{\mathrm d(x^2+3)}{\mathrm dx}}{(x^2+3)^2}

\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{(x^2+3)-(x+5)(2x)}{(x^2+3)^2}

\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{3-10x-x^2}{(x^2+3)^2}

So

\dfrac{\mathrm df}{\mathrm dx}=\dfrac{2(x+5)}{x^2+3}\cdot\dfrac{3-10x-x^2}{(x^2+3)^2}

\implies\dfrac{\mathrm df}{\mathrm dx}=\dfrac{2(x+5)(3-10x-x^2)}{(x^2+3)^3}

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