Answer:
Step 1
Step-by-step explanation:
Mark simplified 3/5 + 5/8 using the steps below:
Step 1: 3/5 * 8/5
Step 2: 3 * 8 / 5 * 5
Step 3: 24/5
Step 4: 4 4/5
Mark's error is in Step 1 where he changed the addition sign to multiplication sign.
The correct solution is:

For this case we have the following scenario:
Carlos enrolled in a gym to play sports. Carlos pays a fee for the registration and must pay 1 dollar for each day he trains in the gym. Write an equation that models the problem.
The equation that models the problem is:
y = x + 1.
The slope of the line is 1 and represents the payment of 1 dollar for each day trained.
The intersection with the y axis is 1 and represents the payment of 1 dollar for the initial inscription.
Answer:
The fifth term is 7
Step-by-step explanation:
Looking at the graph
we have the ordered pairs
(1,5),(2,5.5),(3,6),(4,6.5),(5,7)
so
Let

The common difference in this arithmetic sequence is 0.5
The value of the fifth term is a_5
therefore
The fifth term is 7
This is in gradient intercept form (or slope intercept form)
y = mx + b
in this case y = -1.2x + 26
so m (the slope) = -1.2
and the y intercept = 26
I'm not sure what intercept they're asking for.
if you wanted to find the x intercept, just substitute.
y = 0 and find x.