Question

joshua wants to burn at least 400 calories per day, but no more than 600. he does this by walking and playing basketball. assuming he burns 4 calories per minute walking, ( w ), and 5 calories per minute spent playing basketball, ( b ), the situation can be modeled using these inequalities:
4w + 5b geq 400
4w + 5b leq 600
which are possible solutions for the number of minutes joshua can participate in each activity? check all that apply.

• ( square ) 40 minutes walking, 40 minutes basketball
• ( square ) 60 minutes walking, 20 minutes basketball
• ( square ) 20 minutes walking, 60 minutes basketball
• ( square ) 50 minutes walking, 50 minutes basketball
• ( square ) 60 minutes walking, 80 minutes basketball
• ( square ) 70 minutes walking, 60 minutes basketball

Explanation:

Step1: Test first option

Calculate total calories: $4(40) + 5(40) = 160 + 200 = 360$

Step2: Test second option

Calculate total calories: $4(60) + 5(20) = 240 + 100 = 340$

Step3: Test third option

Calculate total calories: $4(20) + 5(60) = 80 + 300 = 380$

Step4: Test fourth option

Calculate total calories: $4(50) + 5(50) = 200 + 250 = 450$

Step5: Test fifth option

Calculate total calories: $4(60) + 5(80) = 240 + 400 = 640$

Step6: Test sixth option

Calculate total calories: $4(70) + 5(60) = 280 + 300 = 580$

Step7: Filter valid values

Check if $400 \leq \text{calories} \leq 600$

Answer:

• 50 minutes walking, 50 minutes basketball
• 70 minutes walking, 60 minutes basketball