Question

Please help me EMERGANCY

Answer 1

Answer:

$\textsf{1.} \quad 4x \leq 25$

$\textsf{2.} \quad x \leq 6.25$

3.  See attachment.

Step-by-step explanation:

Given information:

• You have $25 and you want to buy some baseballs that cost $4 each.
• Let x be the number of baseballs that you could buy.

Question 1

If the baseballs cost $4 each and x is the number of baseballs, then 4x represents the total cost of the baseballs.

The maximum amount of money available to spend on the baseballs is $25.

Therefore, the inequality to represent this is:

$\large\boxed{4x \leq 25}$

Question 2

Solve the inequality by dividing both sides by 4:

$\implies \dfrac{4x}{4} \leq \dfrac{25}{4}$

$\implies x \leq 6.25$

Note:  As x represents the number of baseballs you can buy, and as you cannot buy part of a baseball or negative baseballs, the real solution is 0 ≤ x ≤ 6.

Question 3

To graph  x ≤ 6.25  on a number line:

• As the value of x is included in the interval, draw a closed circle at 6.25.
• As the value of x is equal to or less than 6.25, draw a line to the left of the closed circle and place an arrow on its left endpoint.

To graph  0 ≤ x ≤ 6  on a number line:

• Place a closed circle at 0 and 6.
• Draw a line connecting the closed circles.