What are the ways to determine if a relation is a function? Select EACH correct answer.
2 answers:
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We know the number of yards run per quarter:
- Quarter 1: -2 yards
- Quarter 2: 14 yards
- Quarter 3: -18 yards
- Quarter 4: -6 yards
Sum of yards run across quarters = (-2) + 14 + (-18) + (-6) = -12
Total number of quarters = 4
⇒
⇒ = -3
Hence, he ran -3 yards per quarter
To solve for variable equations or inequalities, we want to do two things:
1. Reduce one side to variables only
2. Reduce that side to the variable without coefficients.
The given equation is
.
Let's perform step 1: reducing one side to variables only. By adding
to both sides of the equation, we get 
.
Now let's perform step 2: reducing that side to the variable without coefficients. Since the coefficient of
is 
, we need to divide both sides of the equation by 4: 
. Rounded to the nearest tenth, 
.
So the value of
that satisfies is .
1. Reduce one side to variables only
2. Reduce that side to the variable without coefficients.
The given equation is
Let's perform step 1: reducing one side to variables only. By adding
Now let's perform step 2: reducing that side to the variable without coefficients. Since the coefficient of
So the value of