Answer:




Step-by-step explanation:
Given
See attachment for complete question
Required
Match equivalent expressions
Solving (a):

The expression can be written as:
--- 0
---- 1
--- 2
---- 3
---- 4
For the nth term, the expression is:
---- n
So, the summation is:

Solving (b):

The expression can be written as:
--- 0
---- 1
--- 2
---- 3
---- 4
For the nth term, the expression is:
---- n
So, the summation is:

Solving (c):

The expression can be written as:
--- 0
---- 1
--- 2
---- 3
---- 4
For the nth term, the expression is:
---- n
So, the summation is:

Solving (d):

The expression can be written as:
--- 0
---- 1
--- 2
---- 3
---- 4
For the nth term, the expression is:
---- n
So, the summation is:

Y = 3.50x
245 = 3.50x
x = 245/3.5
x = 70 coffee mugs
315 = 3.50x
x = 315/3.5
x = 90 coffee mugs
Ronny needs to sell 90 coffee mugs to reach his sales goal. However, he already sold 70 coffee mugs, so he needs to sell an additional 20 coffee mugs to reach 90 coffee mugs and reach his $315 sales goal.