Question

daniel is processing a large document on a computer. this scatterplot shows how many pages he produced each hour: production using this information, what is the best prediction of the number of pages daniel can produce in 10 hours? 55 2 40 80 solve: \\( \frac { y } { 3 } = 8 \\) 15 7 24 2.6

Explanation:

Question 1

Step1: Analyze the scatter - plot trend

The scatter - plot shows an increasing trend. As the number of hours increases, the number of pages completed also increases. The values seem to be approaching a certain range.

Step2: Estimate the value for 10 hours

Looking at the scatter - plot, the values at 7 hours is around 40 pages and at 8 hours is around 45 pages. A linear or near - linear trend (by visual inspection of the scatter - plot) suggests that for 10 hours, the value should be higher than 45. Among the options, 55 is a reasonable estimate as 2 is too low (not in line with the increasing trend), 40 is the value at 7 hours (too low for 10 hours), and 80 is too high (no indication of such a steep increase from the given scatter - plot points).

Step1: Solve the equation \(\frac{y}{3}=8\) for \(y\)

Multiply both sides of the equation \(\frac{y}{3}=8\) by 3. Using the property of equality \(a = b\Rightarrow a\times c=b\times c\) (where \(a=\frac{y}{3}\), \(b = 8\) and \(c = 3\)).

$$y=8\times3$$

Step2: Calculate the value of \(y\)

$$y = 24$$

Answer:

55

Question 2