Q. What happens to the value of the expression 1+3f as f increases?Choose 1 answer:(A) It increases.(B) It decreases.(C) It stays the same.
Analysis of the expression: Let's analyze the expression 1+3f.As f increases, we multiply this increase by 3 (since f is multiplied by 3 in the expression).This means that the whole expression 1+3f will increase by three times whatever amount f increases.
Increase in expression with increasing f: To check this, let's pick two values for f, where the second value is greater than the first.For example, let f1=1 and f2=2.When f=f1, the expression 1+3f becomes 1+3(1)=1+3=4.When f=f2, the expression 1+3f becomes 1+3(2)=1+6=7.We can see that as f increased from f1 to f2, the value of the expression increased from f3 to f4.
Checking with specific values of f: Since the expression increases whenever f increases, we can conclude that the value of the expression 1+3f increases as f increases.Therefore, the correct answer is A) It increases.
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