Troy signed up for a new cell phone plan which charges him a fee of $40 per month, plus $0.05 for each text message (t) that he sends. If Troy wants to spend at most $70
on his cell phone bill this month, which inequality below can be used to determine the number of text messages that he can send?
$40+$0.05t≤$70**
$40+$0.05t>$70
$40+$0.05t≥$70
$40+$0.05t<$70
the first one is right
The correct inequality to determine the number of text messages that Troy can send is $40 + $0.05t ≤ $70. This inequality represents the total cost of his cell phone bill, which includes the $40 monthly fee and the $0.05 charge for each text message. By setting the total cost less than or equal to $70, Troy ensures he does not exceed his budget. Therefore, the correct answer is $40 + $0.05t ≤ $70.
To determine the number of text messages Troy can send, we need to set up an inequality based on the given conditions. Troy is charged a fee of $40 per month and an additional $0.05 for each text message he sends.
Let's assume that the number of text messages Troy sends is represented by 't'.
The total cost of the cell phone bill, taking into account both the fixed fee and the variable charge for text messages, can be represented by the expression:
$40 + $0.05t.
According to the given condition, Troy wants to spend at most $70 on his cell phone bill this month. So we can set up an inequality as follows:
$40 + $0.05t ≤ $70.
Therefore, the correct inequality to determine the number of text messages that Troy can send is:
$40 + $0.05t ≤ $70.