Math  /  Algebra

Question1. Julie and Rafael are both reading the same book. - Julie can read 3 pages in 2 minutes. - Rafael can read 5 pages in 4 minutes.
Based on these rates, which statement is NOT true? A. Rafael can read 0.5 pages more than Julie in 2 minutes. B. Julie can read 2 more pages than Rafael in 8 minutes. C. Rafael can read 2.5 pages in 2 minutes. D. Julie can read 6 pages in 4 minutes.

Studdy Solution

STEP 1

1. Julie reads at a constant rate of 3 pages per 2 minutes.
2. Rafael reads at a constant rate of 5 pages per 4 minutes.
3. We are comparing their reading rates to determine which statement is NOT true.

STEP 2

1. Calculate Julie's reading rate in pages per minute.
2. Calculate Rafael's reading rate in pages per minute.
3. Evaluate each statement based on the calculated reading rates.

STEP 3

Calculate Julie's reading rate in pages per minute: - Julie reads 3 pages in 2 minutes, so her rate is 3 pages2 minutes=1.5 pages per minute \frac{3 \text{ pages}}{2 \text{ minutes}} = 1.5 \text{ pages per minute} .

STEP 4

Calculate Rafael's reading rate in pages per minute: - Rafael reads 5 pages in 4 minutes, so his rate is 5 pages4 minutes=1.25 pages per minute \frac{5 \text{ pages}}{4 \text{ minutes}} = 1.25 \text{ pages per minute} .

STEP 5

Evaluate Statement A: - In 2 minutes, Julie reads 1.5×2=3 1.5 \times 2 = 3 pages. - In 2 minutes, Rafael reads 1.25×2=2.5 1.25 \times 2 = 2.5 pages. - Rafael reads 2.53=0.5 2.5 - 3 = -0.5 pages less than Julie, not more. - Statement A is NOT true.

STEP 6

Evaluate Statement B: - In 8 minutes, Julie reads 1.5×8=12 1.5 \times 8 = 12 pages. - In 8 minutes, Rafael reads 1.25×8=10 1.25 \times 8 = 10 pages. - Julie reads 1210=2 12 - 10 = 2 more pages than Rafael. - Statement B is true.

STEP 7

Evaluate Statement C: - In 2 minutes, Rafael reads 1.25×2=2.5 1.25 \times 2 = 2.5 pages. - Statement C is true.

STEP 8

Evaluate Statement D: - In 4 minutes, Julie reads 1.5×4=6 1.5 \times 4 = 6 pages. - Statement D is true.
The statement that is NOT true is:
A \boxed{\text{A}}

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