Dillon is fencing a rectangular pasture. The length and width of the pasture are related according to a specific formula. He developed this table to see how many total feet of fencing he will need for pastures with different dimensions. Which equation could Dillon use to calculate the total number of feet of fencing, t, in terms of different pasture widths, w?
Width (in feet) 15/16/17/18/20/24
Length (in feet) 23/25/27/29/33/41
Total Fencing Needed (in feet) 76/82/88/94/106/130
a.t=2 (w +w +8)
b.t= w+ 2w - 7
c.t= 2w +2w - 7
d.t= ( w+ 2w - 7)
none of the above
t = 2(w + 2w-7)
oh im sorry for d i forgot the 2 :) sorry!!!!
To determine the equation that Dillon could use to calculate the total number of feet of fencing, t, in terms of different pasture widths, w, we can examine the given table.
From the table, we can observe that the total fencing needed is equal to the sum of the length and the width, multiplied by 2, with an additional constant term of -7. Therefore, the equation can be written as:
t = 2(w + l) - 7
Now, we need to determine the relationship between the length and the width. Looking at the table, it seems that the length is determined by a specific formula or pattern based on the width. To find this relationship, we can compare the values of length and width from the table.
By analyzing the values, we can see that the length is equal to 2w + 1. Thus, the equation for length, l, in terms of width, w, is:
l = 2w + 1
Now we can substitute this equation for the length, l, in the previous equation:
t = 2(w + (2w + 1)) - 7
t = 2(3w + 1) - 7
t = 6w + 2 - 7
t = 6w - 5
Therefore, the equation that Dillon could use to calculate the total number of feet of fencing, t, in terms of different pasture widths, w, is:
t = 6w - 5
So, the correct option among the given choices is not provided. The correct equation is t = 6w - 5.