After Simon fully charges his electric car, he can drive for up to 350 miles before it runs out of battery. Simon's car was fully charged this morning, and he has driven 140 miles since then. Let x represent how many more miles Simon can drive without running out of battery. Which inequality describes the problem? Choices: (A)140 + x ≤ 350 (B)140 + x ≥ 350 Solve the inequality. Then, complete the sentence to describe the solution. Simon can drive up to ____ more miles before running out of battery.

Question

After Simon fully charges his electric car, he can drive for up to 350 miles before it runs out of battery. Simon's car was fully charged this morning, and he has driven 140 miles since then.  Let x represent how many more miles Simon can drive without running out of battery. Which inequality describes the problem?   Choices: (A)140 + x ≤ 350 (B)140 + x ≥ 350    Solve the inequality. Then, complete the sentence to describe the solution. Simon can drive up to ____ more miles before running out of battery.

Bytelearn · Accepted Answer

Analyze Problem:  Step 1: Analyze the problem statement and set up the inequality. Simon has already driven 140 miles, and he can drive up to 350 miles on a full charge. We need to find out how many more miles, x, he can drive. The total driving distance should not exceed 350 miles. Mathematically, this is represented as 140 + x ≤ 350. Solve Inequality:  Step 2: Solve the inequality. Subtract 140 from both sides of the inequality: 140 + x ≤ 350 x ≤ 350 - 140 x ≤ 210 Check Solution:  Step 3: Check the solution. Plug x = 210 back into the inequality to verify: 140 + 210 = 350 350 ≤ 350, which is true.

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