Suppose 288 nursing students took a certification test that is worth 140 points. The five-number summary for the scores is shown here.

min. value = 68
Q1 = 110
median = 125
Q3 = 130
max. value = 138

About how many students had a score of 130 or less?
A)216

B)144

C)130

D)72

 The correct answer is:  [A]: " 216 " .

Step-by-step explanation

The Q3, or third quartile, mean the last "fourths" of the test taskers (about 25% has 130 or above.  (Q3 = 130) ;

So about  75%;  (100% - 25% = 75%) ;  had 130 or less.

There are 288 nursing students who took the test;

so 288 test-takers.

75% of 288 =  ? ;

75% = 75/100 = 0.75 * 288 = ? ;  

                             Use calculator; to get:  " 216 "  ;

 which is:

Answer choice:  [A]: " 216 " .

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.