I don't know how to do it but I at least think it could either be C or D... Please help me.

1 answer:

7 0

We could draw a table to help us to answer this question.

Took medication Didn't take medication Total
No cough 17 28 45
Cough 13 42 55
Total 30 70 100

The question states "given that they reported no cough", which is basically asking how many people OUT OF those who reported no cough took the medication.

So using the table, the number of people who took the medication and reported no cough is 17. The TOTAL number of people who reported no cough is 45. 17/45 = 37.777 = 38%

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Write an exponential equation in the form y = ab* whose graph passes through points (2, 18) and (5, 60.75).

DochEvi [55]

Let $y=ab^x,$ as described in the problem statement. Plugging in $x=2$ and $x=5$ gives us the equations $18=ab^2$ and $60.75=ab^5.$ Since $a,b$ are nonzero, we divide the second equation by the first to get $\frac{27}{8}=b^3,$ which means that $b=\frac{3}{2},$ after taking the cube root. Plugging this value for $b$ into the first equation, we now have $18=a(3/2)^2=\frac{9a}{4}.$ Solving gives $a=8,$ and our desired exponential equation is $\boxed{y=8\left(\frac{3}{2}\right)^x}.$