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antoniya [11.8K]
3 years ago
7

Kelly spends $75.98 on items for a party. She buys thank you cards that cost $3.18 (including tax). She also buys gift bags that

cost $10.40 each. If she buys one gift bag for each guest, how many guests did Kelly invite to the party? A. 6 B. 7 C. 9 D. 8
Mathematics
1 answer:
vladimir2022 [97]3 years ago
6 0
B. 7 because if you do $75.98/$10.40=7
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  \begin{aligned} \\\frac{g(x+h)-g(x)}{h} &= \frac{1}{h} \cdot [g(x+h) - g(x)] \\&= \frac{1}{h} \left( \frac{1}{x+h} - \frac{1}{x} \right)\end{aligned}

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  \begin{aligned} \\\frac{g(x+h)-g(x)}{h} &= \frac{1}{h} \left( \frac{1}{x+h} - \frac{1}{x} \right)\\&=\frac{1}{h} \left(\frac{x}{x(x+h)} - \frac{x+h}{x(x+h)} \right) \\ &=\frac{1}{h} \left(\frac{x-(x+h)}{x(x+h)}\right) \\ &=\frac{1}{h} \left(\frac{x-x-h}{x(x+h)}\right) \\ &=\frac{1}{h} \left(\frac{-h}{x(x+h)}\right) \end{aligned}

Now we can cancel the h in the numerator and denominator under the assumption that h is not 0.

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