Final answer:
The equation that can be used to determine the number of pennies Lola will save during each week of saving pennies is p = 6 * 2^(w-1).
Step-by-step explanation:
The equation that can be used to determine the number of pennies, p, Lola will save during week w of saving pennies is:
p = 6 * 2w-1
Step-by-step explanation:
In her first week, Lola will save twice the number of pennies she already has, which is 6. So, p = 6.
In the second week, Lola will save twice the number of pennies as the previous week. So, p = 6 * 2 = 12.
In the third week, Lola will save twice the number of pennies as the previous week. So, p = 12 * 2 = 24.
Following this pattern, in week w, Lola will save twice the number of pennies as the previous week, which can be expressed as p = 6 * 2w-1.