Question

1. Amelia can do 5 sit-ups. Her goal is to increase to 50 sit-ups by adding 5 more sit-ups to her training schedule each week. Amelia wants to know how many weeks it will take to reach her goal of 50 sit-ups. Part A Is Amelia's training goal best described by an equation or an inequality? Explain.​

Answer 1

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 :

$t_{n}$ = a + (n- 1 )d

$t_{n}$ = 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