Answer:
Part A
The required inequality is;
y = 50 - 2 × x ≥ 20
Please find attached the graph of the inequality created with Microsoft Excel
Part B
The number of weeks she can withdraw is less than or equal to 15 weeks
Step-by-step explanation:
The given parameters are;
The amount Kate has in her savings account at the beginning of the summer = $50
The least amount she wants to have in the account at the end of the summer = $20
The amount she withdraws each weak from the account = $2
Part A
Let 'x' represent the number of weeks she can withdraw money, we have;
The required inequality that gives the number of weeks she can withdraw money is given as follows
y = 50 - 2 × x
y ≥ 20
Therefore, the inequality is;
y = 50 - 2 × x ≥ 20
The graph of the inequality created with Microsoft Excel is attached
Part B
The number of 'x' weeks she can withdraw is;
50 - 2 × x ≥ 20
- 2 × x ≥ 20 - 50 = -30
x ≤ -30/(-2) = 15
The number of weeks she can withdraw is x ≤ 15 weeks.
