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PROBLEM:

Loly set her car's odometer to zero at the start of her trip home. When the odometer showed that she had driven 26 km, a highway sign showed that she was still more than 40 km from her home. What is the minimum total distance, to the nearest kilometre, that she would have traveled when she arrives home?

GIVEN:

Let d be total distance in kilometres

Let d - 26 be distance from the sign to Loly's home

SOLUTION:

Translating the problem into inequality.

The distance from the sign to Loly's home is more than 40 km = d - 26 > 40

Solve the inequality problem.

d - 26 > 40

d > 40 + 26

d > 66

The smallest integer that is greater than 66 is 67.

ANSWER:

Thus, the minimum total distance Loly would have traveled is 67 km.

Problem:

• Loly set her car's odometer to zero at the start of her trip home. When the odometer showed that she had driven 26 km, a highway sign showed that she was still more than 40 km from her home. What is the minimum total distance, to the nearest kilometre, that she would have traveled when she arrives home?

Asked:

• What is the minimum total distance, to the nearest kilometre, that she would have traveled when she arrives home?

Given:

• Let d = total distance in kilometres
• Let d - 26 = distance from the sign to Loly's home

Solution:

The problem asks for the minimum total distance Loly would have traveled.

Choose a variable to represent the total distance.

• Let d the total distance in kilometres
• Let d - 26 the distance from the sign to Loly's home

Use the variable to write an inequality based on the given information.

The distance from the sign to Loly's home is more than 40 km.

• d - 26 > 40

Solve the open sentence:

• d - 26 > 40
• d > 40 + 26
• d > 66

The smallest integer that is greater than 66 is 67.

Thus, the minimum distance traveled is 67 km.

Checking:

Is the distance from the sign to Loly's home more than 40 km?

• d - 26 > 40
• 67 - 26 > 40
• 41 > 40 ✔

Is the distance the least possible?

Suppose the distance is the next smaller integer, 66.

• d - 26 > 40
• 66 - 26 > 40
• 40 > 40 False

Answer:

• Therefore, the minimum total distance Loly would have traveled is 67 km.