Question

WILL GIVE BRAINLIEST!
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.
A.) 1.5%
B.) 5%
C.) 50%
D.) 0.5%

Answer 1

Answer:

We can see that after 2 years, enrollment becomes 35 instead of 15.

35/15=2.333...)

Since it's exponential, take sqrt(2.333...)=about 1.5

So the growth is 50%

Answer 2

Answer:

C.) 50%

Step-by-step explanation:

Let the function that represents the given graph is,

$y=ab^x$

Where, x represents the time in years,

y represents the enrollments after x years,

By the graph,

if x = 0, y = 15,

$\implies 15 = ab^0\implies a = 15$

Now, if x = 2, y = 35,

$\implies 35 = ab^2 = 15b^2\implies b=\sqrt{\frac{35}{15}}\approx 1.5$

∵ In the exponential function $f(x) = ab^x$

b is the growth ( > 1 ) or decay( < 1 ) factor.

Thus, growth factor of the function that shows the given situation is 1.5 ( approx )

Now, growth rate = growth factor - 1

= 1.5 - 1

= 0.5

= 50%

Hence, the percentage rate of growth is 50%.

Option 'C' is correct.