1. **State the problem:** A student bikes distances given by expressions on Monday and Tuesday: Monday's distance is $5t + 4$ km and Tuesday's distance is $3t + 2$ km. We need to find how much farther the student biked on Monday compared to Tuesday.
2. **Formula used:** To find how much farther on Monday, subtract Tuesday's distance from Monday's distance:
$$\text{Difference} = (5t + 4) - (3t + 2)$$
3. **Simplify the expression:**
$$\text{Difference} = 5t + 4 - 3t - 2$$
Combine like terms:
$$\text{Difference} = (5t - 3t) + (4 - 2) = 2t + 2$$
4. **Interpretation:** The student biked $2t + 2$ km farther on Monday than on Tuesday.
5. **Answer choice:** Among the options given, $2t + 2$ matches our result.
**Final answer:** $2t + 2$
Distance Difference
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