Question
Question 12 ( 4 points) The equation \( y=1.55 x+110,419 \) approximates the total cost in dollars, of raising a child in the United States from birth to 17 years, given the household's annual income, \( x \). Approximately how much would it cost to raise a child from birth to 17 years in a household with an annual income of \( \$ 48,000 \) ? \( \$ 185,921 \) \( \$ 184,819 \) \( \$ 182,419 \) \( \$ 74,409 \) Question 13 (4 points) What percent of 280 is 67.2 ? \( 0.24 \% \) \( 6.72 \% \) \( 24 \% \) \( 41.7 \% \)
Ask by Craig Warren. in the United States
Jan 27,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
- **Question 12:** \$184,819 (Option B)
- **Question 13:** 24% (Option C)
Solution
Let's solve each question step by step:
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**Question 12**
**Given Equation:**
\( y = 1.55x + 110,419 \)
**Where:**
\( x = \$48,000 \)
**Calculation:**
1. **Multiply 1.55 by 48,000:**
\( 1.55 \times 48,000 = 74,400 \)
2. **Add 110,419 to the result:**
\( 74,400 + 110,419 = 184,819 \)
**Answer:**
\( \$184,819 \)
**Option B**
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**Question 13**
**Problem:**
What percent of 280 is 67.2?
**Calculation:**
1. **Divide 67.2 by 280:**
\( \frac{67.2}{280} = 0.24 \)
2. **Convert to a percentage:**
\( 0.24 \times 100\% = 24\% \)
**Answer:**
\( 24\% \)
**Option C**
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**Summary of Answers:**
- **Question 12:** \( \$184,819 \) (**Option B**)
- **Question 13:** \( 24\% \) (**Option C**)
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Bonus Knowledge
To determine the cost of raising a child in a household with an annual income of $48,000, we simply plug the value into the equation: \( y = 1.55(48,000) + 110,419 \). Calculating that gives us \( y \approx 185,921 \). So, it would cost approximately $185,921 to raise a child in that income bracket! To find what percent 67.2 is of 280, we use the formula: \( \text{percent} = \left( \frac{67.2}{280} \right) \times 100 \). Calculating that gives \( \text{percent} \approx 24\% \). So, 67.2 is 24% of 280!
