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3 years ago

The total cost for g grams of pepperoni if each gram costs $5.65

Mathematics

1 answer:

11Alexandr11 [23.1K]3 years ago

7 0

We are given

g is weight of pepperoni in grams

C is the total cost

if each gram costs $5.65

So, 1 gram cost =$5.65

so, g gram cost is

$=5.65\times g$

we can term it as C

which means total cost

so, total cost is

$=5.65\times g$

or we can write as

$C=5.65\times g$ ................Answer

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According to the statement

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we know that the equation of parabola in general form is

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From the graph we have:

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Now, substitute these values in the equation number (1)

Then

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=======================================================

Explanation:

We use this arithmetic sequence formula to get the nth term

$a_n = a_1 + d(n-1)$

Plug in $a_1 = 4, \ d = 8, \ n = 10$ and you should get the following:

$a_n = a_1 + d(n-1)\\\\a_{10} = 4 + 8(10-1)\\\\a_{10} = 4 + 8(9)\\\\a_{10} = \textbf{76}\\\\$

The tenth term is <u>76</u>

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We can verify this by listing out the terms one by one. Start at 4, add on 8 each time, until you generate the 10th term. A table like the one shown below is a good way to keep track of all the terms.

$\begin{array}{c|c}\boldsymbol{n} & \boldsymbol{a_n}\\1 & 4\\2 & 12\\3 & 20\\4 & 28\\5 & 36\\6 & 44\\7 & 52\\8 & 60\\9 & 68\\10 & \textbf{76}\\\end{array}$

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In short, the error is with the "10" in the expression 4+10(8). The student should have used 9 instead. This is because of the n-1 term in $a_n = a_1 + d(n-1)$ which shifts everything one spot to the left.

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