Question

Read the scenario below. Then answer all three parts completely. Be sure to use complete sentences and/or show your work.

Answer 1

Step-by-step explanation:

Part A

At least 30 miles but less than 50 miles each week.

Required inequality:

• 30 ≤ x < 50

In 4 weeks:

• 120 ≤ 4x < 200

Part B

• "At least" means equal or more than 30, hence 30 ≤ x
• Less than 50, hence x < 50

Part C

At least 8 but no more than 12 gallons of gas each week, with the cost $2.25 to $2.50 per gallon.

Match the lowest and highest ends. This is converted as:

• 8*$2.25 ≤ m ≤ 12*$2.50

Simplified:

• $18 ≤ m ≤ $30