Ruby plans to make 3 quilts per month until she makes 15 quilts. she figures this will take 1/5 month. which is not a reason why this conclusion is wrong?
a) in 1/5 month, ruby would make fewer than 3 quilts.
b)dividing 3 by 15 does equal 1/5, but the unit is not months.
c)she should have multiplied 15 by 3 instead of dividing.
d)if ruby makes more than 3 quilts, the time will be more than 1 month.

c)She should have multiplied 15 by 3 instead of dividing.

Step-by-step explanation:

Number of quilts Ruby plan to make in one month= 3

which means if Ruby makes more than 3 quilts, the time will be more than 1 month.

To find the number of months to make 15 quilts, she need to divide 15 by 3

Thus, the number of months to make 15 quilts=5

Her answer was 1/5 which was absolutely wrong as if she is making 3 quilt in 1 month then in 1/5  month she would make fewer than 3 quilts.

She divides 3 by 15 instead of 15 by 3, thus but the unit is quilts not months.

Thus the only wrong option is c)She should have multiplied 15 by 3 instead of dividing.

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step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

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