Question

The sales of a certain product after an initial release can be found by the equations ( s = 10/51t + 15 ), where s represents the total sales (in thousands) and t represents the time in weeks after release. Make a table of values, graph the function, and use the graph to estimate the sales 8 weeks after release.

a) About $78
b) About $415,000
c) About $78,000
d) About $415

Answer 1

By substituting t=8 into the equation s=10/51t+15, the calculation leads to an estimated sales figure of About $27,549, which is in thousands, making the estimated sales 8 weeks after release around $27,549, not matching any of the provided options exactly.

Step-by-step explanation:

To estimate the sales 8 weeks after release using the given equation s = 10/51t + 15, we need to calculate the value of s by substituting the value of t with 8. The resulting calculation will give us the total sales (in thousands) for the 8th week.

Substituting 8 for t gives us:

s = 10/51(8) + 15

s = 10/51 * 8 + 15

s = 1.5686 * 8 + 15

s = 12.5490 + 15

s = 27.5490

Since s represents the total sales in thousands, we multiply by 1,000 to get the actual sales figure, which is $27,549.

Therefore, the estimated sales 8 weeks after release would be About $27,549, which is not one of the provided options (a) About $78,000, (b) About $415,000, (c) About $78, (d) About $415. The correct answer seems to be missing, but closest to our calculation is option (c) About $78 if it meant $78,000.