Final answer:
The equation for the total cost of the math competition is $151 = $30 + ($11 * x), where x represents the number of test packets purchased. By solving the equation, we find that approximately 11 test packets were purchased for the math competition.
Step-by-step explanation:
We can express the total cost of the math competition using an equation. Let's assume that x represents the number of test packets purchased. The enrollment fee of $30 is a fixed cost and the charge of $11 per packet of 19 tests is a variable cost that depends on the number of test packets purchased (x).
So the equation can be written as:
Total cost = enrollment fee + (charge per packet * number of test packets)
$151 = $30 + ($11 * x)
To find the number of tests purchased (x), we can solve this equation for x.
First, subtract $30 from both sides:
$151 - $30 = $11x
$121 = $11x
Finally, divide both sides by $11 to solve for x:
$121 / $11 = x
x ≈ 11
Therefore, approximately 11 test packets were purchased for the math competition.