Final answer:
The let statements define the variables related to the cost of downloading videos, setting the stage for creating a linear equation to calculate the total cost based on the number of videos downloaded.
Step-by-step explanation:
When we define variables in mathematics, we are creating a representation of amounts or values that can change. The student has outlined a scenario with several different quantities related to downloading videos. Below are the let statements that define each variable.
- a) Let v be the number of instructional videos downloaded.
- b) Let C be the cost of downloading v videos.
- c) Let P be the price of the first video at $12.00.
- d) Let A be the price of each additional video at $4.99.
These let statements set the groundwork for building a linear equation to describe the total cost of downloading videos. With the provided prices, if one video is downloaded, the cost would be represented as C = P. For each additional video downloaded, we add A to the total cost for each one after the first, leading to C = P + A(v-1), assuming v > 1.