A farmer at a farmers’ market creates a sign to show equivalent rates of the cost of tomatoes per pound. Number of Pounds Cost in Dollars Rate 0.5 1.75 $1.750.5 lb. 4 14.00 $14.004 lb. 7 24.50 $24.507 lb. If she were to add another row for 10 pounds of tomatoes, what number would be in the numerator for its corresponding rate? (1 point) $
The rate is calculated by dividing the cost in dollars by the number of pounds.
For the current rates, we have:
Rate for 0.5 pounds = $1.75 / 0.5 = $3.50 per pound
Rate for 4 pounds = $14.00 / 4 = $3.50 per pound
Rate for 7 pounds = $24.50 / 7 ≈ $3.50 per pound
Since all the rates are equal at $3.50 per pound, we can conclude that the rate for 10 pounds would also be $3.50 per pound. Therefore, the number in the numerator for its corresponding rate would still be $3.
To find the number that would be in the numerator for the corresponding rate of 10 pounds of tomatoes, we can use the given information.
The given table shows the cost of tomatoes per pound for different quantities. We can observe a pattern - as the number of pounds increases, the cost also increases.
Looking at the table, we can see that for each pound, the cost is $1.75. So, to find the cost for 10 pounds, we can multiply the cost per pound by the number of pounds:
$1.75/pound * 10 pounds = $17.50
Therefore, the number in the numerator for the corresponding rate of 10 pounds of tomatoes would be $17.50.