to earn extra money, Oliver takes aluminum cans to a recycling center. The center pays cash based on the total weight of the aluminum cans that Oliver brings to the center. The graph shows a proportional relationship
between the weight of aluminum cans and the amount of cash Oliver earns.
The x-axis represents the weight of aluminum cans in pounds, while the y-axis represents the amount of cash in dollars. The graph is a straight line that passes through the origin (0,0), indicating that there is a constant rate of pay for each pound of aluminum cans.
As the weight of aluminum cans increases, the amount of cash earned also increases in a proportional manner. For example, if Oliver brings 5 pounds of aluminum cans, he would earn 5 times the amount of cash he would earn for 1 pound of aluminum cans.
This graph allows Oliver to calculate how much cash he would earn based on the weight of aluminum cans he brings to the recycling center. It also shows that the more aluminum cans Oliver collects and brings to the center, the more cash he will earn.
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To determine how much money Oliver can earn based on the total weight of aluminum cans, we need to understand the graph that represents the proportional relationship between the weight and the payment.
In a proportional relationship, the graph will be a straight line passing through the origin (0,0). The slope of the line represents the rate at which the payment changes with respect to the weight.
To find out how much Oliver can earn, we need to know the payment per unit weight. This can be determined by finding the slope of the line on the graph. The slope is calculated by dividing the change in the y-axis variable (payment) by the change in the x-axis variable (weight).
If the graph is not given, we can gather data by weighing different amounts of aluminum cans and recording the corresponding payments. By observing the data, we can plot the points on a graph and draw a straight line that represents the proportional relationship.
Once we have the graph or the slope, we can calculate how much Oliver can earn by multiplying the weight of the aluminum cans by the payment per unit weight. For example, if the payment per unit weight is $0.05 per pound and Oliver brings in 10 pounds of aluminum cans, he would earn $0.05 x 10 = $0.50.
It is important to note that the exact values and calculations may vary depending on the specific values given in the problem or the data collected.