An electric vehicle charging station delivers energy at a constant rate of k kilowatt-hour… — ACT

An electric vehicle charging station delivers energy at a constant rate of $k$ kilowatt-hours (kWh) per hour. If a vehicle receives a total of $48\text{ kWh}$ of energy after charging for $1.5$ hours, which of the following equations can be solved to find $k$ ?

$1.5k = 48$ Answer
B
$\frac{k}{1.5} = 48$
C
$k + 1.5 = 48$
D
$k - 1.5 = 48$
E
$48k = 1.5$

Answer

1.5k = 48

Multiplying the charging rate of

k

kWh per hour by the charging duration of

1.5

hours yields the total energy of

48

kWh. Thus,

1.5k = 48

correctly models the situation.

Step-by-Step Solution

Identify the relationship between rate, time, and total amount.

Total energy = (charging rate)

\times

(time in hours)

The unit rate in kWh per hour multiplied by hours yields total kWh.

Substitute the given values into the relationship.

48 = k \times 1.5

, or

1.5k = 48

The total energy is

48

, the rate is

k

, and time is

1.5

hours.

Key Concept

Formulating one-step multiplication equations from unit rate scenarios

Estimated Time:1m 0s

Question

Answer

Step-by-Step Solution

Key Concept

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