Final answer:
The student's question pertains to calculating projected total sales for a product based on an initial sales figure and a consistent quarterly growth rate. The calculation involves finding the total sales each quarter by multiplying the projected number of units sold by the price per unit and adding the results for the first year.
Step-by-step explanation:
The student is asking for help with a Mathematics problem related to predicting sales growth and calculating total sales. To calculate the total sales for Navigator's GPS trackers in the first year, we begin with first-quarter sales and apply the consistent percentage increase for subsequent quarters. For quarter 1, the expected sales are 1,777 units at $42 each. To find the total sales for quarter 1, we simply multiply the number of units by the price per unit.
For the following quarters, we will apply a 7% increase to the number of units sold each quarter. This means for quarter 2, we use the first quarter's units and multiply by 1.07 (7% increase) to find the expected number of units sold. We repeat this process for quarters 3 and 4. After determining the expected number of units for each quarter, we multiply by the price per unit, $42, to find the total sales per quarter. To get the cumulative total sales for the first year, we then add up the total sales from each of the four quarters. We must remember to round the total sales to the nearest penny when we are calculating the final amount. The question provides a rounding example: when rounding $6.375 to the nearest penny, it becomes $6.38. We apply this same principle to our final total sales calculation.