Question

the number of customers for a new online business can be modeled by $y = 6x^2 + 75x + 200$, where $x$ represents the number of months since the business started. which is the best prediction for the number of customers in month 25?
a. 3791
b. 5825
c. 4754
d. 2936

Explanation:

Step1: Substitute x=25 into the model

$y = 6(25)^2 + 75(25) + 200$

Step2: Calculate the squared term

$25^2 = 625$, so $6\times625 = 3750$

Step3: Calculate the linear term

$75\times25 = 1875$

Step4: Sum all terms

$y = 3750 + 1875 + 200$

Step5: Compute the final total

$3750+1875=5625$; $5625+200=5825$

Answer:

B. 5825