Answer:
Part A: The expression for the combined posts is d (t + e)
Part B: Tommy and Elizabeth have posted 182 pictures altogether
Step-by-step explanation:
* Lets explain how to solve the problem
- Tommy posts 11 pictures on Instagram every day
∴ The rat of Tommy is 11 pictures per day
- Elizabeth posts 15 pictures on Instagram every day
∴ The rat of Elizabeth is 15 pictures per day
# Part A:
- To make an Algebraic expression to describe the combined
number of posts for Tommy and Elizabeth after any given number
of days, chose a variable represents the number of days
- Assume that the number of days that Tommy and Elizabeth post
is d days and the rat of Tommy is t pictures per day , the rate of
Elizabeth is e pictures per day
∵ The rat of Tommy is t pictures per day
∵ The rate of Elizabeth is e pictures per day
∵ They do that for d days
∴ Their combined number of posts = t d + e d
- Take d as a common factor from both terms
∴ Their combined number of posts = d (t + e)
* The expression for the combined posts is d (t + e)
# Part B:
∵ d = 7 , t = 11 , e = 15
∵ Their combined number of posts = d (t + e)
- Substitute the value of the variables in the expression
∴ Their combined number of posts = 7 (11 + 15)
∴ Their combined number of posts = 7 (26)
∴ Their combined number of posts = 182
* Tommy and Elizabeth have posted 182 pictures altogether
