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QUESTION IMAGE

the chart below shows one stores sales of computers, listed by model. i…

Question

the chart below shows one stores sales of computers, listed by model.

if the changes in sales between may and june continue at the same rate, how many total computers will be sold in july?
a. 534
b. 721
c. 1,019
d. 1,254

Explanation:

Calculate total sales for May

Using the Pie Chart Analysis knowledge point

$$ \text{Total}_{\text{May}} = 262 + 282 + 223 + 135 + 148 = 1050 $$

Calculate total sales for June

Using the Pie Chart Analysis knowledge point

$$ \text{Total}_{\text{June}} = 173 + 184 + 148 + 153 + 212 = 870 $$

Determine the rate of change and project for July

We find the absolute change in total sales between May and June:

$$ \Delta = \text{Total}_{\text{June}} - \text{Total}_{\text{May}} = 870 - 1050 = -180 $$

Assuming the changes in sales continue at the same rate (linear change):

$$ \text{Total}_{\text{July}} = \text{Total}_{\text{June}} + \Delta = 870 - 180 = 690 $$

Since \(690\) is not among the options, let us check the percentage rate of change:

$$ r = \frac{870}{1050} \approx 0.82857 $$

Applying this constant ratio to June sales:

$$ \text{Total}_{\text{July}} = 870 \times \frac{870}{1050} \approx 720.86 \approx 721 $$

This matches option (b).

Answer:

  • a. 534
  • b. 721 (Correct answer)
  • c. 1,019
  • d. 1,254