Question

write the phrase as a rate in simplest form: 6 pounds of meat for 8 people.
1 to 2
2 to 3
2 to 1
3 to 4
question 10 (2.5 points)
write \3750 words on 15 pages\ as a unit rate.
250 words per page
15 words per page
250 words per 15 pages
3750 words per page

Explanation:

First Question (Write the phrase as a rate in simplest form: 6 pounds of meat for 8 people)

Step1: Identify the ratio

The ratio of pounds of meat to people is \( \frac{6}{8} \).

Step2: Simplify the fraction

Find the greatest common divisor (GCD) of 6 and 8, which is 2. Divide both numerator and denominator by 2: \( \frac{6\div2}{8\div2} = \frac{3}{4} \), so the rate is 3 to 4.

Step1: Recall the formula for unit rate

Unit rate is total quantity divided by number of units, so here it's \( \frac{3750 \text{ words}}{15 \text{ pages}} \).

Step2: Perform the division

Calculate \( 3750 \div 15 = 250 \). So the unit rate is 250 words per page.

Answer:

3 to 4 (corresponding to the option "3 to 4")

Second Question (Write "3750 words on 15 pages" as a unit rate)