Question

On a road trip a family drives 350 miles per day. How many days, d, must must they travel to reach a distance of at least 1, 4000 miles? write an inequality to represent this situation.

Answer 1

Answer:

The Inequality representing the situation is $350d\geq 14000$ .

Family needs to drive at least 40 days to reach a distance of at least 1, 4000 miles.

Step-by-step explanation:

Given:

Number of miles family drive per day =350 miles

We need to find the number of days d they must travel to reach a distance of at least 1, 4000 miles.

we need to write the inequality to representing the situation.

Solution:

Let the number of days to be driven be $'d'$

So now we can say that;

Number of miles family drive per day  multiplied by the number of days to be driven should be greater than or equal to 14000.

framing in equation form we get;

$350d\geq 14000$

Hence The Inequality representing the situation is $350d\geq 14000$ .

On Solving we get;

Dividing both side by 350 we get;

$\frac{350d}{350}\geq \frac{14000}{350}\\\\d\geq 40\ days$

Hence Family needs to drive at least 40 days to reach a distance of at least 1, 4000 miles.