Carson is a high school student with two part-time jobs. He earns $6 per hour for babysitting, and he earns $8 per hour doing clerical work for his father's business. His goal is to earn at least $96 a week, but because of school, he does not want to work more than 15 hours each week. Suppose Carson worked as a babysitter for 5 hours one week. What is the minimum number of full hours he would need to work at his father's business to earn at lease $96 that week?

Step-by-step explanation:

Step one:

let the hours for babysitting be x

and the hours for doing clerical be y

we are told that Carson would like to earn $96 weekly

She babysits for $6 per hour

and earned $8 per hour  doing clerical work

6x+8y=961

Carson cannot work more than a total of 15 hours per week  

5x+y≤152

The system of equation for the situation is

6x+8y=96

5 x+y≤15  

y=15-5 x

put y=15-5 x in eqn 1

6x+8(15-5 x)=96

6x+120-40x=96

collect like terms

6x-40x=96-120

-34x=-24

x=24/34

x=0.7

Approximately 1 hour babysitting

put x= 0.7 in 5x+y≤15

5(0.7)+y≤15

3.52+y≤15

y≤15-3.52

y=11.4

Approximately 11 hours doing clerical work

introduction, methodology, results, discussion

step-by-step explanation:

an observational study is one which consists of actual observation to record data and then analyse the data.

there are a number of factors that should be analyzed before starting an observational study.

the main four factors are:

i) introduction:   this should be analysed to check whether the purpose of the study is correctly established and the data recorded are appropriate for the study

methodology:   the method of collecting the data, such as whether randomly selected, and whether sample size matches with the population to be studied, whether questions asked are easy to answer by common men, etc.

results: then results such as summary of data with comments should be studied thoroughly

discussion:   the last is the discussion, this can be either by management people or persons who are all interested , etc.

i can answer this question sweetie!

step-by-step explanation: