We can write the equation for the total cost y in dollars as a function of the number of pounds x of meat purchased as follows:
y = (21/6)x
This equation represents a linear relationship between x and y, where the slope is 21/6 dollars per pound and the y-intercept is zero.
To fill in the table, we can substitute different values of x into the equation and calculate the corresponding values of y as follows:
x (pounds) y (dollars)
1 3.50
2 7.00
3 10.50
4 14.00
5 17.50
6 21.00
7 24.50
8 28.00
9 31.50
10 35.00
Therefore, the table shows the relationship between the number of pounds of meat purchased and the total cost in dollars based on the given price of $21 for 6 pounds of meat.