Answer:
[tex]350 * D \geq 1400[/tex]
[tex]D\ge 4[/tex]
This means that the family must travel for at least 4 days.
Step-by-step explanation:
Given
[tex]Rate = 350\ miles\ daily[/tex]
[tex]Distance = 1400\ miles\ (atleast)[/tex]
Required
Determine and solve the inequality
The number of days is represented with D
So:
On any D number of days, the family would have covered a distance of 350 * D miles
If the total distance is at least 1400, then the inequality is:
[tex]350 * D \geq 1400[/tex]
[The term "At least" is used to represent greater than or equal to]
[tex]350 * D \geq 1400[/tex]
Divide through by 350
[tex]\frac{350 * D}{350} \ge \frac{1400}{350}[/tex]
[tex]D \ge \frac{1400}{350}[/tex]
[tex]D\ge 4[/tex]
This means that the family must travel for at least 4 days.
