Acceptance into an acting workshop is highly competitive. Last year, only 2 out of every 15 applicants were accepted into the workshop. This year, the workshop accepted 40 of 600 possible applicants. Compare this year's acceptance rate that of last year's rate. Is this year's acceptance rate higher than, lower than, or equal to last year's acceptance rate? Explain your reasoning.

Question

contestada

Respuesta :

MrRoyal MrRoyal · Answer 1 · 2020-12-09T02:34:52+01:00

Answer:

This year's acceptance rate is lower than last year's

Step-by-step explanation:

Given

Last year: 2 out of every 15 are accepted

This year: 40 out of 600 are accepted

Required

Compare both rates.

The rate is calculated by dividing the accepted applicants by total applicants.

For last year:

[tex]Rate = \frac{2}{15}[/tex]

[tex]Rate = 0.133[/tex]

For this year:

[tex]Rate = \frac{40}{600}[/tex]

[tex]Rate = 0.067[/tex]

By comparison

0.067 is less than 0.133.

Hence, this year's acceptance rate is lower than last year's