+0

# Need some help with these two math questions?

+1
541
3

1.  Titus has collected a set of data and calculated the median to be 29. The set contains 75 numbers, but Titus gets an email telling him to add the following 6 numbers to his data: 23, 26, 26, 30, 33, 40

What is the new median for his data?

A) 28
B) 29
C) 30
D) 31

2. On Chatty Cathy’s cell phone plan she pays for minutes used plus a fixed monthly charge. For 500 minutes she pays \$35 total, and for 1500 minutes used she pays \$55 total. What is her monthly fixed charge?

A) \$15

B) \$20

C) \$25

D) \$30

Oct 23, 2018

#1
+3

1. Wild guess, is the answer 29?

Oct 23, 2018
#2
+3

Yes, it is! The median is constant!

Oct 23, 2018
#3
+3

Nice, tertre  !!!

Here is the second one.....

Let F  be the fixed charge  and M  be the cost per minute of use

So...we have these equations

500M + F  = 35

1500M + F  = 55

Subtract the first equation from the second and we get that

1000M = 20     divide both sides by 1000

M =  20 / 1000   =   2 / 100   =  2 cents per minute

So...using either equation to determine F, we have

500 (,02) + F  =  35

10 + F  = 35      subtract   10 from each side

F  =   25  (dollars)   CPhill  Oct 24, 2018