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Question
questionskylar is going to drive from her house to city a without stopping. an equation that determines skylars distance from city a $t$ hours after leaving her house is $d = 120 - 30t$. what is the $x$-intercept of the equation and what is its interpretation in the context of the problem?answer attempt 1 out of 2the $x$-intercept of the function is $square$ which represents
Step1: Set distance to 0
Set $D=0$ in $D=120-30t$:
$0=120-30t$
Step2: Solve for t
Isolate $t$ by rearranging:
$30t=120$
$t=\frac{120}{30}=4$
Step3: Interpret the intercept
In context, $t=4$ means the time when Skylar reaches City A.
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The $x$-intercept of the function is $4$, which represents the number of hours it takes Skylar to reach City A (when her distance from City A is 0).