Question

On a road trip, a family drives 350 miles per day. How many days, d, must they travel to reach a distance of at least 1,400 miles? Part A Choose the symbol to complete an inequality to represent this situation. >≤<≥ 350d 1,400 Part B Solve the inequality. What does the solution represent in this situation?

Answer 1

Inequality symbol = ≥

Solution = d≥4

Explanation:

If a family drives 350 miles per day, then;

1 day = 350 miles

To determine the number of days they will use to reach at least 1400mles

d days = 1400miles

Divide both expressions

1/d = 350/1400

Cross multiply

350 * d = 1400

350d = 1400

Since we are told that it ia at least 1400miles, this means the total miles can be greater than 1400. Hence the correct inequality sign to use will be a greater than or equal to sign(≥).

The expression above becomes 350d ≥ 1400

Divide both sides by 3350

350d ≥ 1400/350

d≥ 4

Hence the solution that represent the situation is d≥ 4