The graph shows the time a car took to travel a distance of 700 km at \( 100 \mathrm{~km} / \mathrm{h} \). Use the graph to: 5.1 determine the distance that the car will cover in \( 2 \frac{1}{2} \) hour . 5.2 determine how long it will take to cover 480 km .

To solve these problems, we'll use the basic formula that relates distance, speed, and time: \[ \text{Distance} = \text{Speed} \times \text{Time} \] \[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \] Given: - **Speed (\( v \))**: \( 100 \, \text{km/h} \) - **Total Distance**: \( 700 \, \text{km} \) (This information confirms the speed but isn't directly needed for these specific questions.) ### 5.1 Determine the distance that the car will cover in \( 2 \frac{1}{2} \) hours. **Step 1:** Convert \( 2 \frac{1}{2} \) hours to a decimal for easier calculation. \[ 2 \frac{1}{2} \, \text{hours} = 2 + 0.5 = 2.5 \, \text{hours} \] **Step 2:** Use the distance formula. \[ \text{Distance} = \text{Speed} \times \text{Time} \] \[ \text{Distance} = 100 \, \text{km/h} \times 2.5 \, \text{h} = 250 \, \text{km} \] **Answer:** The car will cover **250 kilometers** in \( 2 \frac{1}{2} \) hours. --- ### 5.2 Determine how long it will take to cover 480 km. **Step 1:** Use the time formula. \[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \] \[ \text{Time} = \frac{480 \, \text{km}}{100 \, \text{km/h}} = 4.8 \, \text{hours} \] **Step 2 (Optional):** Convert 4.8 hours to hours and minutes for a clearer understanding. \[ 0.8 \, \text{hours} \times 60 \, \text{minutes/hour} = 48 \, \text{minutes} \] \[ 4.8 \, \text{hours} = 4 \, \text{hours} \, 48 \, \text{minutes} \] **Answer:** It will take **4.8 hours** (which is 4 hours and 48 minutes) to cover **480 kilometers**.