Question

Tree pruning company A charges a one time $100 fee and $50 for each tree that they prune. Tree pruning company B charges a one time $80 fee and $60 for each tree that they prune.

Let the variable t represent the amount trees pruned and c represent the cost. For how many pruned trees will the cost be the same for both companies?

Which system of equations can be used to solve this problem?

A. {c=150t
c=140t

B. {c=100−50t
c=80−60t

C.{c=100+50t
c=80+60t

D. {c=50+100t
c=60+80t

Answer 1

if you put the onetime fee as y intercept and rate as slope you will get the answer.

A: y=50x+100
B: y=60x+80

use desmos and the intersection is when the prices become the same

Answer 2

The answer to this question should be C