Answer:
1.) 4x + 36 < 60
2.) The family must spend less than 6 hours in Millersville watching the movie.
Step-by-step explanation:
1.) In order to write an inequality to represent the situation, we need to consider all variables. The main resultant / dependent variable is the money spent. The independent variable is the time.
Let x = time and y = money spent.
y = mx + b
Since the entrance fee for the movie is $36, we know that the b = 36. Since the rate of change is $4, you know that m = 4. Lastly, since the maximum amount of money the family has is $60, y = 60.
60 = 4x + 36
Finally, since the money spent must always be LESS THAN 60, 4x + 36 < 60
2.) Soling the Inequality:
Firstly, isolate the 4x by subtracting 36 from both sides.
4x + 36 -36 < 60 - 36
4x < 24
Next, divide both side by 4 in order to isolate x. Since 4 is positive, DO NOT flip the less than
4x/4 < 24/4
x < 6
Since x represents the time, time < 6 hours, meaning that the family must spend less than 6 hours in Millersville watching the movie.
