Question

(a) create a proportion. (b) solve the proportion. how long does it take tina to type 864 words if she took 15 minutes to type out 720 words? (a) proportion: (b) x =

Explanation:

Step1: Define Proportion

Let \( x \) be the time (in minutes) to type 864 words. The proportion is based on words per minute (constant rate). So, \(\frac{720}{15}=\frac{864}{x}\).

Step2: Solve Proportion

Cross - multiply: \( 720x = 15\times864 \).
Calculate \( 15\times864 = 12960 \).
Then, \( x=\frac{12960}{720}=18 \).

Answer:

(a) The proportion is \(\frac{720}{15}=\frac{864}{x}\) (where \( x \) is the time in minutes to type 864 words). (b) \( x = 18 \) minutes.