Answer:
(i) Equation
(ii) 10 weeks
Step-by-step explanation:
The scenario is an equation and not an inequality , this is because the number of sit - ups Amelia planned to do is specific , which is 50 , had it been the question used the word like at least , at most 50 , it would have been an inequality.
The question is an example of Arithmetic sequence
From the statement ;
The first term = 5
The common difference = 5 ( since Amelia planned to add 5 more sit - ups to her training schedule each week )
The formula for the nth term of an Arithmetic sequence is given by :
[tex]t_{n}[/tex] = a + (n- 1 )d
[tex]t_{n}[/tex] = 50
a = 5
d = 5
n = ?
substituting the values , we have
50 = 5 + (n - 1 ) x 5
50 = 5 + 5n - 5
50 = 5n
n = 10
Therefore , it will take Amelia 10 weeks to reach her goal of 50 sit - ups
