Question

sanjay can type 170 words in three minutes. ebonys typing speed can be modeled using the equation (290 = (s)(5)), where (s) is the average typing speed in words per minute.

who has the faster typing speed?

a. sanjay, because his average typing speed is about 57 wpm
b. ebony, because her average typing speed is 58 wpm
c. ebony, because her average typing speed is about 57 wpm
d. sanjay, because his average typing speed is 58 wpm

Explanation:

⚡ Using what you learned: Dimensional Analysis · solving linear equations in one variable

Step 1: Calculate Sanjay's typing speed

Sanjay types \(170\) words in \(3\) minutes. To find his speed in words per minute (wpm):

$$ \text{Sanjay's speed} = \frac{170\text{ words}}{3\text{ minutes}} \approx 56.67\text{ wpm} $$

Rounding to the nearest whole number gives approximately \(57\text{ wpm}\).

Step 2: Calculate Ebony's typing speed

Ebony's speed is modeled by the equation:

$$ 290 = s \cdot 5 $$

Solve for \(s\):

$$ s = \frac{290}{5} = 58\text{ wpm} $$

Step 3: Compare the speeds

Comparing the two speeds:

• Sanjay's speed: \(\approx 57\text{ wpm}\)
• Ebony's speed: \(58\text{ wpm}\)

Ebony has the faster typing speed because her speed is \(58\text{ wpm}\).

Answer:

B Ebony, because her average typing speed is 58 wpm