Answer:
a. [tex]63x \geq 300[/tex]
b. [tex]x \geq 4.76[/tex] [tex]or[/tex] [tex]x\geq 5[/tex]
c. For David to achieve three hundred dollars, he would have to save approximately 5 months
Step-by-step explanation:
A. David requires three hundred dollars, this is his goal, indicating the three hundred must be alone. For the inequality sign, the statement says that he "requires at least $300", meaning that he would have to maintain three hundred dollars or his amount could go greater than $300. Therefore, the inequality sign should be "≥" or "greater than or equal to". We also know that David can save 63 dollars per month, meaning that there should be a variable next to 63 so we could replace "x" with any number to solve our inequality. This should leave us with the following inequality :
63x ≥ 300
B. To solve the inequality, we need to get x alone, to do so, divide 63 by both sides,
[tex]\frac{63x}{63} \geq \frac{300}{63}[/tex]
[tex]x \geq 4.76[/tex]
To make it easier, we can round "4.76" to 5.
[tex]x \geq 5[/tex]
C. Already shown in the answer spot