Answered

Surveys get more accurate with larger sample sizes. You want an accurate survey, but your cost per respondent is $3 and your budget is $1,000. How many respondents can you survey?

Answer :

skyluke89

You can survey a maximum of 333 respondents

Step-by-step explanation:

The total budget available for completing the survey is

[tex]B=1000 \$[/tex]

While the cost per respondent in the survey is

[tex]b=3\$[/tex]

If we survey [tex]n[/tex] respondent during the survey, then the total cost will be

[tex]cost=nb[/tex]

Since the cost cannot be larger than the budget B, then we can write:

[tex]B=nb[/tex]

And solving for n,

[tex]n=\frac{B}{b}=\frac{1000}{3}=333.3\sim 333[/tex]

So you can survey a maximum of 333 respondents.

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