The result for a survey of 120 students who were selected randomly are listed below · 60 students have a cell phone plan with company x · 36 students have a cell phone plan with company y · 24 students do not have a cell phone the total population of students was 380. based on the data, what is the best approximation for the total number of students who have a cell phone plan with company y? a) 144 b) 127 c) 143 d) 163 *note* show your work, no random answers.

144

Step-by-step explanation:

In a survey of 120 students

36 students have a cell phone plan with company Y

So, percentage of students having y cell phones =

                                                                                  =

Thus 30% of the students have a cell phone plan with company Y

Now we are given that The total population of students was 380.

So, out of 380 , no. of students having cell phones of company y :

Hence the best approximation for the total number of students who have a cell phone plan with company  is 144

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.

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