kelsey had $65 to spend on books. each book cost $5.50, and there was a $7.50 fee for shipping. she let b…

kelsey had $65 to spend on books. each book cost $5.50, and there was a $7.50 fee for shipping. she let b equal the number of books she can purchase and wrote the inequality 5.50b + 7.5 < 65 to represent the situation. which statements describe the reasoning used to determine if kelseys inequality is correct? select two options. the inequality symbol is correct because she must spend less than $65. the inequality symbol is incorrect because she can spend up to and including $65. the expression 5.50b + 7.5 is correct because $5.50 per book is 5.50b and that is added to the shipping fee of $7.50 to determine the total purchase price. the expression 5.50b + 7.5 is incorrect because $5.50 per book and $7.50 should be combined to $9.50b to determine the total purchase price. the inequality symbol is correct because she cannot spend more than $65.

kelsey had $65 to spend on books. each book cost $5.50, and there was a $7.50 fee for shipping. she let b equal the number of books she can purchase and wrote the inequality 5.50b + 7.5 < 65 to represent the situation. which statements describe the reasoning used to determine if kelseys inequality is correct? select two options. the inequality symbol is correct because she must spend less than $65. the inequality symbol is incorrect because she can spend up to and including $65. the expression 5.50b + 7.5 is correct because $5.50 per book is 5.50b and that is added to the shipping fee of $7.50 to determine the total purchase price. the expression 5.50b + 7.5 is incorrect because $5.50 per book and $7.50 should be combined to $9.50b to determine the total purchase price. the inequality symbol is correct because she cannot spend more than $65.

Answer

Explanation:

Step1: Analyze inequality symbol

She has $65 to spend, so she can spend up - to and including $65. The correct symbol should be $\leq$ instead of $<$. So the statement "The inequality symbol is incorrect because she can spend up to and including $65" is valid.

Step2: Analyze the expression

The cost of $b$ books at $5.50$ per book is $5.50b$, and then we add the shipping fee of $7.50$. So the total cost is $5.50b + 7.50$. The statement "The expression 5.50b + 7.5 is correct because $5.50 per book is 5.50b and that is added to the shipping fee of $7.50 to determine the total purchase price" is valid.

Answer:

The inequality symbol is incorrect because she can spend up to and including $65. The expression 5.50b + 7.5 is correct because $5.50 per book is 5.50b and that is added to the shipping fee of $7.50 to determine the total purchase price.