Ramona was asked to estimate the solution to the exponential equation 4x−300=42

Question

 by using an over/under table and providing her answer to two decimal places. She gave an estimated solution of x≈2.73
. In 3–5 sentences, explain why this is an unreasonable estimate of the solution to this equation.(4 points)

Answer 1

Ramona's estimated solution of x≈2.73 is unreasonable because the equation provided is an exponential equation, meaning the value of x is likely not a decimal. Additionally, 2.73 is unlikely to be close to the actual solution given that the equation involves a large constant term. The solution to the equation may be a whole number or involve fractions, making an estimate of 2.73 far off from the actual solution. Therefore, Ramona's estimate does not accurately reflect the solution to the exponential equation given.