15. Mrs. Kramer's class is collecting money to buy fruit baskets for nursing home residents. They need at least [tex]$\$[/tex]120[tex]$ to buy the fruit baskets. So far they have collected $[/tex]\[tex]$85$[/tex].

Which inequality shows how much money (c) the class still needs to collect?

A. [tex]$120 \geq 85+c$[/tex]
B. [tex]$c \geq 120+85$[/tex]
C. [tex]$85 \geq 120+c$[/tex]
D. [tex]$85+c \geq 120$[/tex]

17. Mike is thinking of a number [tex]$n$[/tex]. He knows that ten times the number is less than 70.

Which inequality describes this situation?

A. [tex]$10n \ \textless \ 70$[/tex]
B. [tex]$10n \ \textgreater \ 70$[/tex]
C. [tex]$10 \times 70 \ \textless \ n$[/tex]
D. [tex]$10 \times 70 \ \textgreater \ n$[/tex]

19. Tracy has [tex]$\$[/tex]35[tex]$ to buy comic books and to pay for a movie ticket. Each comic book costs $[/tex]\[tex]$3$[/tex]. The movie ticket costs [tex]$\$[/tex]10[tex]$.

Which inequality can be used to determine how many comic books, $[/tex]b[tex]$, Tracy can buy?

A. $[/tex]35-3b \leq 10[tex]$
B. $[/tex]35-3b \geq 10[tex]$
C. $[/tex]35-10b \leq 3[tex]$
D. $[/tex]35-10b \geq 3$



Answer :

Let's solve each question step-by-step:

### Question 15

Mrs. Kramer's class needs at least \[tex]$120 and they have already collected \$[/tex]85. We need to find out how much more money, [tex]\(c\)[/tex], they need to collect.

The amount they still need can be calculated as follows:
[tex]\[ c = 120 - 85 \][/tex]

Hence, [tex]\( c = 35 \)[/tex].

The inequality must express that [tex]\( \$85 + c \)[/tex] is at least [tex]\( \$120 \)[/tex].
[tex]\[ 85 + c \geq 120 \][/tex]

So the correct answer is:
[tex]\[ \boxed{85 + c \geq 120 \text{ (D)}} \][/tex]

### Question 17

Mike is thinking of a number [tex]\( n \)[/tex]. He knows that ten times the number is less than 70. We need to form an inequality that correctly describes this situation.

The statement “ten times the number [tex]\( n \)[/tex] is less than 70” can be written as:
[tex]\[ 10n < 70 \][/tex]

Hence, the correct answer is:
[tex]\[ \boxed{10n < 70 \text{ (A)}} \][/tex]

### Question 19

Tracy has \[tex]$35 to spend on comic books and a movie ticket. Each comic book costs \$[/tex]3, and the movie ticket costs \[tex]$10. We need to determine how many comic books, \( b \), Tracy can buy. First, subtract the cost of the movie ticket from the total amount Tracy has: \[ 35 - 10 = 25 \] The remaining money is \$[/tex]25, which is all Tracy has left to purchase comic books. Since each comic book costs \[tex]$3, we form an inequality for \( b \) as: \[ 35 - 3b \leq 10 \] This inequality shows that the money left after spending on the movie ticket and comic books should be less than or equal to \$[/tex]10.

Therefore, the correct answer is:
[tex]\[ \boxed{35 - 3b \leq 10 \text{ (A)}} \][/tex]

Summarizing:

1. [tex]\( \boxed{D. \, 85 + c \geq 120} \)[/tex]
2. [tex]\( \boxed{A. \, 10n < 70} \)[/tex]
3. [tex]\( \boxed{A. \, 35 - 3b \leq 10} \)[/tex]