Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

choose efficient methods in 5–8, determine which is the better value. 5…

Question

choose efficient methods in 5–8, determine which is the better value.

  1. 1 pound of apples for $2.15 or 3 pounds of apples for $5.76
  2. 8 bungee cords for $10.00 or 20 bungee cords for $22.00
  3. 32 fluid ounces of juice for $7.04 or 20 fluid ounces of juice for $4.80
  4. 5 ounces of insect repellant for $6.95 or 14 ounces of insect repellant for $19

Explanation:

Response
Problem 5:

Step1: Calculate unit price for 1 pound

Unit price for 1 pound of apples is $\$2.15$ per pound.

Step2: Calculate unit price for 3 pounds

Unit price for 3 pounds of apples: $\frac{5.76}{3} = 1.92$ dollars per pound.

Step3: Compare the two unit prices

Since $1.92 < 2.15$, the 3 - pound option has a lower unit price.

Step1: Calculate unit price for 8 bungee cords

Unit price for 8 bungee cords: $\frac{10.00}{8}=1.25$ dollars per bungee cord.

Step2: Calculate unit price for 20 bungee cords

Unit price for 20 bungee cords: $\frac{22.00}{20} = 1.1$ dollars per bungee cord.

Step3: Compare the two unit prices

Since $1.1<1.25$, the 20 - bungee - cord option has a lower unit price.

Step1: Calculate unit price for 32 fluid ounces

Unit price for 32 fluid ounces of juice: $\frac{7.04}{32}=0.22$ dollars per fluid ounce.

Step2: Calculate unit price for 20 fluid ounces

Unit price for 20 fluid ounces of juice: $\frac{4.80}{20}=0.24$ dollars per fluid ounce.

Step3: Compare the two unit prices

Since $0.22 < 0.24$, the 32 - fluid - ounce option has a lower unit price.

Answer:

3 pounds of apples for $\$5.76$ is the better value.

Problem 6: