It takes Josephine 34 minutes to complete her homework assignment of 10 problems,predict how many problems can Josephine complet
1 answer:
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SOLUTION
From the question, we are told that y varies inversely as x
This is mathematically written as
Now, we will remove the proportionality sign and replace it with equal to sign =
If we do this, we will intoduce a constant k
So we have the formula
We will substitute the values of x for 10 and y for 8 into the formula to get k, we have
Now, we will substitute k for 80 back into the formula to get the inverse function, we have
Hence the answer is option C
Multply both sides of the equation by 7.
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When the variable is in the numerator of a proportion like this, you can solve it by multiplying by that denominator. That multiplication cancels the denominator and gives you the value of the variable.
In general, you multiply by the reciprocal of the coefficient of x. When that coefficient is 1/7, you multiply by 7/1. Of course, you know that 7/7 = 1 and that x/1 = x.