Question

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Explanation:

Question 5

• For temperature comparison: A lower (more negative) temperature means colder. At 2 p.m., it's -5°C (5 below zero), at 4 p.m., -3°C (3 below zero). Since -5 < -3, 2 p.m. is colder (so a is correct, f is wrong).
• For inequality of negative numbers: On the number line, numbers to the left are smaller. -5 is left of -3, so -5 < -3 (b correct), -3 > -5 (d correct), while c and e are wrong.

Step1: Find unit rate (cost per pound)

The store sells \(\frac{1}{4}\) pound for \$0.75. To find cost per pound, divide cost by pounds: \(0.75 \div \frac{1}{4}\). Dividing by a fraction is multiplying by its reciprocal: \(0.75 \times 4 = 3\) dollars per pound.

Step2: Calculate cost for 6 pounds

Multiply unit rate by 6 pounds: \(3 \times 6 = 18\).

Step1: Convert percentage to decimal

70% as a decimal is \(0.7\).

Step2: Find 70% of 540

Multiply total students by 0.7: \(540 \times 0.7 = 378\).

Answer:

a. It was colder at 2 p.m. than at 4 p.m.
b. \(-5 < -3\)
d. \(-3 > -5\)

Question 6