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Joshua is ordering a taxi from an online taxi service. He has to pay a flat charge just to order the taxi, and then has to pay per mile, depending on how far he travels. He wrote an equation to represent his total cost,
y=2+1.8 x, where
y represents the total cost in dollars and cents, and
x represents the number of miles he travels. What is the meaning of the
y-value when
x=1 ?
The flat charge to order the taxi.
The total charge for 1 mile.
How much the taxi costs per mile.
How far Joshua can ride for
$1.

Joshua is ordering a taxi from an online taxi service. He has to pay a flat charge just to order the taxi, and then has to pay per mile, depending on how far he travels. He wrote an equation to represent his total cost, $y=2+1.8 x$ , where $y$ represents the total cost in dollars and cents, and $x$ represents the number of miles he travels. What is the meaning of the $y$ -value when $x=1$ ? $\newline$ The flat charge to order the taxi. $\newline$ The total charge for $1$ mile. $\newline$ How much the taxi costs per mile. $\newline$ How far Joshua can ride for $\$ 1$ .

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Evaluate two-variable equations: word problems

Full solution

Q. Joshua is ordering a taxi from an online taxi service. He has to pay a flat charge just to order the taxi, and then has to pay per mile, depending on how far he travels. He wrote an equation to represent his total cost,

y=2+1.8 x

, where

y

represents the total cost in dollars and cents, and

x

represents the number of miles he travels. What is the meaning of the

y

-value when

x=1

?

\newline

The flat charge to order the taxi.

\newline

The total charge for

1

mile.

\newline

How much the taxi costs per mile.

\newline

How far Joshua can ride for

\$ 1

.

Understand the equation: Understand the equation. $\newline$ The equation given is $y = 2 + 1.8x$ . This equation represents the total cost ( $y$ ) of taking a taxi, which includes a flat charge plus a charge per mile traveled ( $x$ ).
Identify components: Identify the components of the equation. $\newline$ The number $2$ in the equation represents the flat charge for ordering the taxi. The $1.8$ represents the cost per mile that Joshua will travel.
Substitute $x$ with $1$ : Substitute $x$ with $1$ to find the meaning of $y$ when $x$ equals $1$ . If we substitute $x$ with $1$ , the equation becomes $y = 2 + 1.8(1)$ .
Perform calculation: Perform the calculation. $\newline$ Now, calculate the value of $y$ when $x$ is $1$ : $y = 2 + 1.8 \times 1 = 2 + 1.8 = 3.8$ .
Interpret the result: Interpret the result. $\newline$ The value of $y$ when $x$ is $1$ is $\$3.8$ . This means that the total charge for traveling \) $1$ $mile is \$$ $3$ . $8$ \), which includes the flat charge plus the cost for $1$ mile.

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