Problem

Making Models : Write an algebraic formula that m…

01:21

Problem 17 Easy Difficulty

Making Models : Write an algebraic formula that models the given quantity.

17. The distance $d$ in miles that a car travels in $t$ hours at 60 $\mathrm{milh}$

Answer

$d=60 t$

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Algebra

Algebra and Trigonometry

Chapter 0

Prerequisites

Section 1

Modeling the Real World with Algebra

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Video Transcript

okay, today, we're gonna set up in algebraic formula or an algebraic equation. So let's say we've been driving in a car and we've been driving for T hours. He is just an arbitrary value. And we've been driving for T hours at 60 miles per hour. That's what we know. But we want to try and find how far we went or are distance D That'll be in units of Miles. But remember, we're not trying to solve anything. We're just trying to set up an equation. And since we're trying to find D, that's gonna be isolated in our equation, so everything else will be on the other side. So we've been driving at 60 miles per hour, four t hours, and that's our answer. And if you want, you can check units to make sure everything works out. So let's go ahead and do that. Our distances and miles in her speed is 60 miles per hour times T, which is in hours. So our units of time cancel and we're left with miles, and that's what we wanted it because we're trying to find a distance, so that works out, and that is our answer

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