Total Cost of Producing Loaves of Bread%0D%0ANumber of Loaves Produced, x%0925%0975%09250%09400%0D%0ATotal Cost of Production, y (dollars)%09170%09210%09350%09470
From the given data, we can see that the cost of producing loaves of bread increases as the number of loaves produced also increases. To determine the total cost function, we can calculate the cost per loaf by dividing the total cost by the number of loaves produced.
For 25 loaves, the cost per loaf is:
Cost per loaf = Total Cost / Number of Loaves Produced
Cost per loaf = $170 / 25
Cost per loaf = $6.80
For 75 loaves, the cost per loaf is:
Cost per loaf = Total Cost / Number of Loaves Produced
Cost per loaf = $210 / 75
Cost per loaf = $2.80
For 250 loaves, the cost per loaf is:
Cost per loaf = Total Cost / Number of Loaves Produced
Cost per loaf = $350 / 250
Cost per loaf = $1.40
For 400 loaves, the cost per loaf is:
Cost per loaf = Total Cost / Number of Loaves Produced
Cost per loaf = $470 / 400
Cost per loaf = $1.18
Based on the calculated cost per loaf for each scenario, we can see that as the number of loaves produced increases, the cost per loaf decreases. The relationship between the number of loaves produced and the total cost of production can be represented by a linear function with a negative slope.