Question

Enrollment at a golf academy has grown exponentially since the academy opened. A graph depicting this growth is shown. Determine the percentage rate of growth.An exponential graph has Time in Years on the x-axis and Enrollments on the y axis. A curve that rises from left to right begins at zero comma fifteen and passes through four comma seventy-five.a. 1.5%b. 5%c. 50%d. 0.5%

Answer 1

Applying the points given, it is found that the growth rate of the exponential function is:

c. 50%

An exponential function has the following format:

$y = a(1 + r)^x$

In which:

• a is the initial value, that is, the value of y when x = 0.
• r is the growth rate, as a decimal.

In this problem:

• The curve begins at (0,15), thus a = 15.

• It passes through (4, 75), which means that when $x = 4, y = 75$, and this is used to find r.

$y = a(1 + r)^x$

$75 = 15(1 + r)^4$

$(1 + r)^4 = 5$

$\sqrt[4]{(1 + r)^4} = \sqrt[4]{5}$

$1 + r = 1.4953$

$r = 1.4953 - 1$

$r = 0.4953$

Thus, approximately 50%, option c.

A similar problem is given at https://brainly.com/question/23416643

Answer 2

Answer:

50% is the correct answer

Step-by-step explanation:

I took the test.