Question

Solve the following using the crossing-graphs method. (Round your answer to two decimal places.) 5 + 69 × 0.96t = 32

Answer 1

Answer:

The solution is 22.98.

Step-by-step explanation:

Here, the given equation,

$5 + 69\times 0.96^t = 32$,

Let $f(t) = 5 + 69\times 0.96^t$

And, $f(t) = 32$

Where, t represents x-axis and f(t) represents y-axis,

Since, $f(t) = 5 + 69\times 0.96^t$ is an exponential decay function having y-intercept (0,74).

Also, f(t) = 32 is the line, parallel to x-axis,

Thus, after plotting the graph of the above functions,

We found that they are intersecting at (22.984, 32)

Hence, the solution of the given equation = x-coordinate of the intersecting point = 22.984 ≈ 22.98