Question
Trenton gets a job as a server in a restaurant. In addition to the $7 he gets paid for each hour he works, Trenton receives up to an additional $100 a day in tips. Write a two-variable inequality to model the given problem, where x represents the number of hours he works in a day and y represents the amount he earns. Which of the following inequalities would describe this scenario?(1 point)
Responses
y≤7x+100
y less-than-or-equal-to 7 x plus 100
y≥7x+100
y greater-than-or-equal-to 7 x plus 100
y≤100x+7
y less-than-or-equal-to 100 x plus 7
y≤107x
y less-than-or-equal-to 107 x
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Responses
y≤7x+100
y less-than-or-equal-to 7 x plus 100
y≥7x+100
y greater-than-or-equal-to 7 x plus 100
y≤100x+7
y less-than-or-equal-to 100 x plus 7
y≤107x
y less-than-or-equal-to 107 x
Skip to navigation
Answers
GPT-4o mini
To model Trenton's earnings as a server, we need to consider both his hourly wage and the maximum amount he can earn in tips. Trenton earns $7 for each hour he works (represented as \( 7x \)) and can earn up to an additional $100 in tips.
Thus, the total amount he earns, \( y \), is given by:
\[
y \leq 7x + 100
\]
This means that his total earnings \( y \) depend on the hours worked \( x \) and cannot exceed the calculated amount of \( 7x + 100 \).
Therefore, the correct inequality that describes the scenario is:
\[
y \leq 7x + 100
\]
Thus, the total amount he earns, \( y \), is given by:
\[
y \leq 7x + 100
\]
This means that his total earnings \( y \) depend on the hours worked \( x \) and cannot exceed the calculated amount of \( 7x + 100 \).
Therefore, the correct inequality that describes the scenario is:
\[
y \leq 7x + 100
\]