35 + 0.05 * t is the correct equation i believe.
Answer:
B (0.312, 0.364)
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence interval
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of 
For this problem, we have that:
1289 randomly selected American adults responded to this question. This means that
.
Of the respondents, 436 replied that America is doing about the right amount. This means that
.
Determine a 95% confidence interval for the proportion of all the registered voters who will vote for the Republican Party.
So
, z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:

The upper limit of this interval is:

The 95% confidence interval is:
B (0.312, 0.364)
To solve, you would need to make two equations and substitute one in for the other. Let a = # of adults, and c = # of children
5a + 2c = 1,220
a + c = 295
a + c = 295
-c -c
a = 295 - c
5(295 - c) + 2c = 1,220
1,475 - 5c + 2c = 1,220
1,475 - 3c = 1,220
1,475 - 3c = 1,220
-1,475 -1,475
-3c = -255
-3c/-3 = -255/-3
c = 85
a + c = 295
a + 85 = 295
-85 -85
a = 210
210 adults attended the dance recital
Hope this helps!
12 and 3/5 hope this helped