Question

question 12
1 pts
lex x represent the number of hours studied.
a model for predicted test score is: $s = 55 + 8x$
if a student studies for 6 hours, the model predicts a score of __________.
question 13
1 pts
a model predicts that a population grows by 125 people per year, starting at 1,000. after 3 years, the actual population is 1,330.
is the model valid for this time period?
the prediction was higher than the actual
the prediction was lower than the actual
there is not enough information

Explanation:

Question 12

Step1: Identify the value of x

The student studies for 6 hours, so \( x = 6 \).

Step2: Substitute x into the formula

The formula for the predicted test score is \( S = 55 + 8x \). Substitute \( x = 6 \) into the formula:
\( S = 55 + 8\times6 \)

Step3: Calculate the result

First, calculate \( 8\times6 = 48 \). Then, \( 55 + 48 = 103 \).

1. First, find the predicted population after 3 years using the model. The model is linear growth: starting at 1000 and growing by 125 per year. The formula for the predicted population \( P \) after \( t \) years is \( P = 1000 + 125t \).
2. Substitute \( t = 3 \) into the formula: \( P = 1000 + 125\times3 \). Calculate \( 125\times3 = 375 \), so \( P = 1000 + 375 = 1375 \).
3. The actual population is 1330. Since \( 1375>1330 \), the prediction was higher than the actual.

Answer:

103

Question 13