204k views
10 votes
The graph represents the number y of visitors to a new art gallery after x months. Write an exponential function that represents this situation. Approximate the number of visitors, to the nearest person, after 5 months.

Y=____

About ___ visitors

The graph represents the number y of visitors to a new art gallery after x months-example-1
User Jashira
by
8.6k points

1 Answer

10 votes

Answer:

  • y = 40(1.5)ˣ
  • About 304 visitors

Explanation:

Formula for exponential function:

  • y = abˣ

Use two points from the graph to determine the function:

  • (0, 40) and (1, 60)

Substitute the coordinates and work out the values of a and b:

  • 40 = ab⁰ ⇒ 40 = a
  • 60 = ab¹ ⇒ 60 = ab ⇒ 60 = 40b ⇒ b = 60/40 ⇒ b = 1.5

The function is:

  • y = 40(1.5)ˣ

The number of visitors after 5 months:

  • y = 40(1.5)⁵ = 304 (rounded up)

User Jedi Master Spooky
by
9.2k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories