One worker earns $85 in 2 weeks, and another earns $175 in four weeks. Are the pay rates proportional?
To determine if the pay rates are proportional, we need to compare the amount earned per week for both workers.
The first worker earns $85 in 2 weeks, so we can calculate the amount earned per week by dividing $85 by 2:
Weekly pay for first worker = $85 / 2 = $42.50
The second worker earns $175 in 4 weeks, so we can calculate the amount earned per week by dividing $175 by 4:
Weekly pay for second worker = $175 / 4 = $43.75
The weekly pay rates for the two workers are NOT equal. Therefore, the pay rates are NOT proportional.
To determine if the pay rates are proportional, we can compare the ratio of the two workers' earnings over the same period of time.
Worker A earns $85 in 2 weeks, so their weekly earnings would be $85/2 = $42.50.
Worker B earns $175 in 4 weeks, so their weekly earnings would be $175/4 = $43.75.
Now, we compare the ratios:
Worker A's pay rate: $42.50/week
Worker B's pay rate: $43.75/week
Since the pay rates are not the same ($42.50 is not equal to $43.75), the pay rates are not proportional.
To determine if the pay rates are proportional, we need to compare the ratios of their earnings.
First, let's calculate the pay rate for the first worker. They earn $85 in 2 weeks, so we divide their earnings by the number of weeks: $85/2 = $42.50 per week.
Now let's calculate the pay rate for the second worker. They earn $175 in four weeks, so we divide their earnings by the number of weeks: $175/4 = $43.75 per week.
The pay rates for the first worker and the second worker are $42.50 per week and $43.75 per week, respectively.
To determine if the pay rates are proportional, we need to compare these two values. We'll divide the pay rate of the second worker by the pay rate of the first worker: $43.75/$42.50 ≈ 1.03.
Since the result is approximately 1, it means that the pay rates are not proportional. If the pay rates were proportional, dividing the two rates should give a constant value.