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AlexFokin [52]
3 years ago
10

If y varies directly as x, and y is 18 when x is 5, which expression can be used to find the value of y when x is 11?

Mathematics
1 answer:
Rzqust [24]3 years ago
7 0
Y=kx is the direct variation equation
First plug in the x, y values given to find K
18=k(5)
18/5=k
3.6 = k
Use the k and write a new equation.
y=3.6x
Plug in the x value to solve for y.
y = 3.6(11)
y= 39.6
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In order to check, common difference will be found first.

d = a_2-a_1 = 7020-5890 = 1130\\d =a_3-a_2 = 8150-7020 = 1130

It can be observed that the common difference is same. When the common difference is same, the sequence is said to be an arithmetic sequence.

The formula for arithmetic sequence is given by:

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Putting the values

a_n = 5890+(n-1)(1130)\\a_n = 5890+1130n-1130\\a_n =4760+1130n

The formula for nth term can be used to find any term. As we have to find the number of papaya rosette pieces after two weeks which means that we need to find the number of pieces on 14th day.

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a_{14}= 4760+1130(14)\\a_{14} = 4760+15820\\a_{14} = 20580

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Mr. Dairo can produce 20580 pieces of Papaya rosette in two weeks.

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