Use the following problem situation to answer the group of questions.
Choose a variable equation that describes the problem situation. List all the parts as shown and then write the final equation, including the quantity the variable is representing. Solve the equation. Check your solution. State your final solution in a complete sentence with correct units.
Willie’s air fare to China is $970. He is depositing $50 a week into his bank account to pay for the trip. If he also needs to spend $280 for vaccinations and a passport, for how many weeks (
) does he need to save to pay for the air fare?
9.
Use the problem situation to answer the question.
The variable term:
10.
Use the problem situation to answer the question.
Variable:
where
is the number of weeks needed to save
where
is the number of weeks needed to pay for vaccinations and a passport
where
is the number of deposits needed
11.
Use the problem situation to answer the question.
The final equation:
12.
Use the problem situation to answer the question.
The constant term added to/subtracted from the variable term:
13.
Use the problem situation to answer the question.
Final answer:
Willie needs to deposit $50 a week for 25 weeks
Willie needs to deposit $25 a week for 50 weeks
Willie needs to deposit $30 a week for 25 weeks
Willie needs to deposit $50 a week for 20 weeks
14.
Use the problem situation to answer the question.
The constant term by itself:
15.
Use the problem situation to answer the question.
Solve equation:
16.
Use the problem situation to answer the question.
Add or subtract:
subtract
add
Let's analyze the problem situation:
Variable term: Willie's deposit per week into his bank account ($50)
Constant term: Cost of vaccinations and passport ($280)
Variable: Number of weeks needed to save (w)
Final equation: 50w + 280 = 970
Constant term by itself: 280 - 280 = 0
Solve equation:
50w + 280 = 970
50w = 970 - 280
50w = 690
w = 690/50
w = 13.8
Add or subtract: Subtract
Final answer: Willie needs to deposit $50 a week for 13.8 weeks (approximately 14 weeks) to pay for the airfare.