Question

The social media account for one store has approximately 10,000 followers. the marketing team consists of 20 of those followers. the team uses the equation y = startfraction 10,000 over 1 499 e superscript negative 0.0455 x baseline endfraction to predict how many followers have seen the post depending on the number of minutes since it was posted. approximately how long can the team expect it to take to reach 3,850 followers? a) 75 minutes b) 125 minutes c) 150 minutes d) 180 minutes

Answer 1

To calculate how long it will take for the team to reach 3,850 followers, we can use the given equation. By plugging in the value of y and solving for x, we find that it will take approximately 125 minutes. Therefore, the correct option is b) 125 minutes.

Step-by-step explanation:

To find out approximately how long it will take for the store's social media account to reach 3,850 followers, we can plug in the value of y (3,850) into the equation and solve for x. The equation is y = 10,000/1,499e-0.0455x. Here's how you can solve for x:

3,850 = 10,000/1,499e-0.0455x

3,850 * 1,499/10,000 = e-0.0455x

0.57705 = e-0.0455x

Now, take the natural logarithm (ln) of both sides to solve for x:

ln(0.57705) = -0.0455x

x = ln(0.57705)/(-0.0455)

x ≈ 125

Therefore, the team can expect it to take approximately 125 minutes to reach 3,850 followers. So, the answer is option b) 125 minutes.