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Numerade Educator



Problem 3 Hard Difficulty

A landscaping company estimates the price of a job,
in dollars, using the expression $60+12 n h,$ where $n$
is the number of landscapers who will be working and $h$ is the total number of hours the job will take
using $n$ landscapers. Which of the following is the
best interpretation of the number 12 in the
$\begin{array}{l}{\text { A) The company charges } \$ 12 \text { per hour for each }} \\ {\text { landscaper. }} \\ {\text { B) A minimum of } 12 \text { landscapers will work on }} \\ {\text { each job. }}\end{array}$
$\begin{array}{l}{\text { C) The price of every job increases by }} \\ {\$ 12 \text { every hour. }} \\ {\text { D) Each landscaper works } 12 \text { hours a day. }}\end{array}$


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Video Transcript

Okay, So for this one, it says, What do the falling is the best interpretation of the number twelve in the expression. Well, let's look at it. So we've got that and we know that sixty plus twelve and aged and we're looking for what this twelve means. Well, we know that this is in the form of some wise equal to an explosive be where sixty. Is that b and this twelve and ages representative of focus and X. So in that case, we know that when N is the number of landscapers and H is a total number of hours, then we know that this twelve must be representative of the M and the slope. So Aziz, twelve. So then, in a word problem, we have to think about what that slow actually means. Well, in a word problem, we know that Slocum mean a certain rate or a certain charge per hour. A certain amount of people per time or certain some sort of a rate, basically. So if we live in it, who aces charges twelve dollars per hours, that one is a rate s So we know that that might work too. Then let's look at the other ones basis, a minimum of twelve landscapers. Well, if it's a minimum, that means that that's going to be the Intersect, because that's like the initial value. So it's not gonna be because, remember, we're looking for the M, not the Bean. And then see says the price of every job increases by twelve dollars per hour. Well, that one is a rate, but it only accounts for the fact that it's every job. I'm increasing my twelve dollars per hour, as opposed to the landscaper because it has n is the number of landscapers who will be working s so it didn't really count for that. We know it's not see cruel. D says Each landscaper works twelve hours a day. Well, okay, well, in that one accounts for the number of landscapers but does not account for the money. So we know it's not going to be fifty. So it's going to be a