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Derek weighs 155 pounds and drives a utility vehicle that can carry no more than 1000 pounds. He plans to use his utility vehicle to haul concrete blocks to his backyard. Write an inequality that shows the number of 3-pound concrete blocks, b, Derek can haul at one time in his utility vehicle.
281
282
333
334
b ≤
To determine the maximum number of 3-pound concrete blocks Derek can haul, we start with the total weight capacity of the utility vehicle, which is 1000 pounds. Subtract Derek’s weight from this total to find the available weight for the concrete blocks.
1. Derek’s weight: 155 pounds
2. The weight capacity of the vehicle: 1000 pounds
3. Available weight for concrete blocks: 1000 – 155 = 845 pounds
Next, since each concrete block weighs 3 pounds, we can express this with the inequality:
3b ≤ 845
Now, to find the maximum number of blocks (b), we can also express this as:
b ≤ 845 / 3
Calculating that gives you:
b ≤ 281.67
Since he can’t haul a fraction of a block, we round down:
b ≤ 281
So, the correct inequality is:
b ≤ 281
This means Derek can haul up to 281 concrete blocks at one time without exceeding the vehicle’s weight limit. If you have further questions or need more details, feel free to ask!