Taxi-Meter TomGridwalkers · the coordinate plane, slope and lines

A flat fare plus so much a mile: linear models in context.

Linear Models in Context

Linear models in context. In MathBound, the free Algebra I adventure game, Taxi-Meter Tom asks these problems, and the only way past is to solve them.

Part of Functions: chapter 4 of the standard course.

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10 questions, no sign-up, nothing saved. Climbs from the basics to harder questions.

What you will practice

Linear Models in Context. Choose the equation for a situation (start plus rate, or Ax + By = total), or use one.

Worked examples

Made by the game’s own question engine. Try each one, then open its steps.

Example 1 · Linear Models in Context

The

table

shows

the

cost

C,

in

dollars,

of

renting

a

boat

for

h

hours.

Which

equation

fits

the

table?

h C 0451722993126

$C = 27 h$
$C = 72 h$
$C = 27 h + 45$
$C = 45 h + 27$

Show the worked steps

$At$ $h = 0$ $the$ $cost$ $is$ $45 :$ $the$ $starting$ $value.$
$Each$ $hour$ $adds$ $27 : C = 27 h + 45 .$

Answer: $C = 27 h + 45$

Example 2 · Linear Models in Context

Jonah

has

$10

saved

and

saves

$40

a

week.

So

S = 40 w + 10 .

After

how

many

weeks

is

S = 130 ?

$120$
$3$
$3.25$
$3.5$

Show the worked steps

$Solve$ $40 w + 10 = 130 : 40 w = 120 .$
$w = 3 .$

Answer: $3$

Example 3 · Linear Models in Context

A

candle’s

height

in

centimeters

after

t

hours

is

h = - 2 t + 18 .

What

does

the

- 2

mean?

$The$ $candle$ $gets$ $2$ $cm$ $taller$ $each$ $hour$
$The$ $candle$ $burns$ $out$ $after$ $2$ $hours$
$The$ $candle$ $is$ $2$ $cm$ $tall$ $at$ $the$ $start$
$The$ $candle$ $gets$ $2$ $cm$ $shorter$ $each$ $hour$

Show the worked steps

$The$ $coefficient$ $of$ $t$ $is$ $the$ $change$ $in$ $h$ $for$ $each$ $hour.$
$It$ $is$ $negative:$ $the$ $candle$ $gets$ $2$ $cm$ $shorter$ $each$ $hour.$

Answer: $The$ $candle$ $gets$ $2$ $cm$ $shorter$ $each$ $hour$

Where it is in your textbook

Textbook	Lessons
Standard course	4.3, 4.5, 5.3
Big Ideas Math Algebra 1	3.3, 3.5
Big Ideas Math Algebra 1 (2022)	3.4, 3.6
CPM Core Connections Algebra	2.2.3
CPS Skyline Algebra	3.4
Eureka Math Algebra I (EngageNY)	1.20-1.21, 1.25-1.28
Glencoe Algebra 1	4-1
Holt McDougal Larson Algebra 1	3.5
Illustrative Mathematics Algebra 1	2.1-2.5, 2.10-2.11, 4.1-4.3
Illustrative Mathematics Algebra 1 (v.360)	2.1-2.5, 2.10-2.11, 5.1-5.3
Math Nation Algebra 1 (Florida B.E.S.T.)	1.3, 3.4, 3.7, 4.4, 4.6, 4.7, 4.8, 13.1, 13.8-13.9, 13.10
MVP Mathematics I (Integrated Math 1)	1.4, 3.4
Open Up NC Math 1 (MVP)	1.4, 3.4
OpenStax Elementary Algebra 2e	4.5
Reveal Algebra 1	3-2, 4-3

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