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9.) This table shows how the number of coffees (c) depends on the number of bagels (b). How would you wite this as an equation?





b

c


7
2


8
3


9
4


10
5

99.) This table shows how the number of coffees (c) depends on the number of bagels (b). How would you wite this as an equation?\newline\begin{tabular}{|c|c|}\newline\hlineb b & c c \\\newline\hline 77 & 22 \\\newline\hline 88 & 33 \\\newline\hline 99 & 44 \\\newline\hline 1010 & 55 \\\newline\hline\newline\end{tabular}

Full solution

Q. 99.) This table shows how the number of coffees (c) depends on the number of bagels (b). How would you wite this as an equation?\newline\begin{tabular}{|c|c|}\newline\hlineb b & c c \\\newline\hline 77 & 22 \\\newline\hline 88 & 33 \\\newline\hline 99 & 44 \\\newline\hline 1010 & 55 \\\newline\hline\newline\end{tabular}
  1. Analyze Table: Look at the table, for each increase of 11 bagel, the coffees increase by 11. So, it's like adding 11 coffee for each extra bagel.
  2. Establish Starting Point: If we start at 77 bagels and 22 coffees, when we got 88 bagels we got 33 coffees. So, if b=7b=7, then c=2c=2. We can use this as our starting point.
  3. Find Difference: Now, let's find the difference between the bagels and coffees. If we take the bagels and subtract 55, we should get the coffees. Like, 75=27-5=2, 85=38-5=3, and so on.
  4. Verify Equation: So the equation is c=b5c = b - 5. This should work for all the pairs in the table. Let's check it real quick, plug in b=10b=10, we should get c=5c=5. Yup, 105=510-5=5, it works!

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