Question

1. Kiran has $100 saved in a bank account. (The account doesn't earn

interest.) He asked Clare to help him figure out how much he could take
out each month if he needs to have at least $25 in the account a year
from now.
a. Clare wrote the inequality -12x + 100 ≥ 25, where x represents the
amount Kiran takes out each month. What does -12x represent?
b. Find some values of x that would work for Kiran.
c. We could express all the values that would work using either x ≤
Which one should we use?
or x ≥

Answer 1

Explanation:

a. In the inequality -12x + 100 ≥ 25, -12x represents the total amount of money Kiran will take out over the year.

b. To find values of x that would work, we can solve the inequality for x:

-12x + 100 ≥ 25

-12x ≥ -75

x ≤ 6.25

So Kiran could take out up to $6.25 each month and still have at least $25 in the account a year from now.

c. We should use x ≤ 6.25 to express all the values that would work for Kiran, since x represents the amount he takes out each month and he cannot take out more than $6.25 per month if he wants to have at least $25 in the account a year from now.