Question

math rally
a \t\ intersection is an intersection where the road ends and you must turn either left or right. \turn right at the third opportunity\ means make the third possible right - turn.

1. you are presently in your car heading east on easy street.
2. to begin the rally, solve 3x = 36

if your answer is greater than 1, turn right at the first opportunity.
if your answer is less than 1, turn right at the second opportunity.
otherwise, turn right at the third opportunity.

1. write the street you are on in capital letters.
2. solve: 5x = 4x + 2

turn left at the ______ st / nd / rd / th opportunity.
if you were to stop here for lunch, where would you eat?

Explanation:

Step1: Solve the equation 3x = 36

Divide both sides by 3: $x=\frac{36}{3}=12$. Since $12>1$, turn right at the first opportunity.

Step2: Write the street name in capital letters

The street is EASY STREET.

Step3: Solve the equation 5x = 4x + 2

Subtract 4x from both sides: $5x-4x=4x + 2-4x$, so $x = 2$. Since $2>1$, we need to determine the left - turn opportunity based on the rules (not fully specified in the problem for this part regarding lunch location, but we focus on the math solutions).

Answer:

1. $x = 12$, turn right at the first opportunity
2. EASY STREET
3. $x = 2$