Question

Ms. Thomas is saving up to buy a new phone. She has already saved $200 and adding $50 per month to her saving account. She wants to have more than $1,000 in her account before she buys the phone. Write an inequality

Answer 1

Explanation:

The inequality equation can be determined by using the concept of arithmetic progression;

a(n) = a₁ + (n-1)d

where;

a(n) = 1000

a = 200

d = 50

The inequality will be:

1000 = 200 + ( n - 1) 50

1000 = 200 + 50n - 50

1000 = 150 + 50 n

1000 - 150 = 50 n

850 = 50 n

n = 850/50

n = 17 months

So, if Ms. Thomas is planning to have more than $1000 in her account, she will need to save for 17 moths before she can buy the phone.