Question

13.) with the information below, answer the following:
scale:
\\(\frac{1}{8}\\) inch = 1 foot

a.) billy bandwagon needs to carpet his bedroom. find the measurements of the bedroom in feet. then find the area in feet. show your work using ratios (fractions).

14.) juana drives 130 miles to visit her grandmother. the trip takes 1.5 hours. juanna’s uncle lives 110 miles away from juana. assuming that juana always travels at the same speed, how long will it take juana to get to her uncles house? use a proportional relationship to solve. show your work.

Explanation:

For Question 13a:

Step1: Convert length to feet

The bedroom's length on the drawing is $1\frac{1}{2}$ in. Using the scale $\frac{1}{8}$ in = 1 ft, set up the ratio:
$\text{Length (ft)} = 1\frac{1}{2} \div \frac{1}{8} = \frac{3}{2} \times 8 = 12$ ft

Step2: Convert width to feet

The bedroom's width on the drawing is $1\frac{1}{4}$ in. Use the same scale:
$\text{Width (ft)} = 1\frac{1}{4} \div \frac{1}{8} = \frac{5}{4} \times 8 = 10$ ft

Step3: Calculate area in square feet

Area is length multiplied by width:
$\text{Area} = 12 \times 10 = 120$

Step1: Define proportional relationship

Let $t$ = time to reach uncle's house. Set up the ratio of miles to hours:
$\frac{130}{1.5} = \frac{110}{t}$

Step2: Solve for $t$

Cross-multiply and isolate $t$:
$130t = 110 \times 1.5$
$130t = 165$
$t = \frac{165}{130} = \frac{33}{26} \approx 1.27$

Answer:

Bedroom measurements: 12 ft (length) × 10 ft (width)
Area: 120 square feet

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For Question 14: