The student store sells pencils for $0.75 each and erasers for $0.25 each. A student can buy a bundle that consists of 2 pencils and 1 eraser for a $0.50 discount. The table shows the costs for different numbers of bundles. # of Bundles Cost
12 $15.00
16 $20.00
Is the relationship between the number of bundles purchased and the cost proportional?
Explain how you know using the given table.
Describe what the graph of the relationship would look like.
Enter your answers and your explanation in the space provided.

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752

don't report but were is the digram

step-by-step explanation:

explanation:

previous steps have made pa≅ pb ≅ st ≅ su. setting the compass width to ab allows you to make tu the same length. then δstu ≅ δpab by the sss congruence postulate, and ∠p ≅ ∠s by the reason cpctc.