Question

X The coordinates of A are (1, c) and the coordinates of B are (4, d). What is the value of d/c?

Answer 1

0.125 or 1/8

1) Examining that, we can find out A, by plugging into the function the given value for x

A(1,c)

$\begin{gathered} f(1)=5.4321\times2^1 \\ f(1)\text{ =10.8642} \end{gathered}$

2) Similarly for B, (4,d) we have

$\begin{gathered} f(x)=5.4321\times2^x \\ f(4)=5.4321\times2^4 \\ f(4)=86.9136 \end{gathered}$

Notice that as it is an increasing exponential function f(4) > f(1)

3) Finally let's divide d by c and get the answer:

$\frac{d}{c}=\frac{10.8642}{86.9136}=0.125$

Hence, the quotient d/c is 0.125 or 1/8