A solar power facility generates a total of E kilowatt-hours (kWh) of electricity on a sun… — ACT

A solar power facility generates a total of $E$ kilowatt-hours (kWh) of electricity on a sunny day. This energy is distributed equally into $16$ identical utility-scale battery units, resulting in exactly $425\text{ kWh}$ stored per unit. Which of the following equations can be solved to find $E$ ?

$\frac{E}{16} = 425$ Answer
B
$16E = 425$
C
$E - 16 = 425$
D
$E + 16 = 425$
E
$\frac{16}{E} = 425$

Answer

The equation

\frac{E}{16} = 425

correctly models the relationship.

Because the total energy

E

is divided equally among

16

units, the amount per unit is given by

\frac{E}{16}

. Setting this equal to

425

yields the correct equation

\frac{E}{16} = 425

Step-by-Step Solution

Identify the relationship between total quantity, number of groups, and quantity per group.

Total energy

E

divided by the

16

identical units equals the energy per unit (

425\text{ kWh}

Equal sharing or distribution corresponds to division in algebraic expressions.

Write the one-step algebraic equation reflecting this relationship.

\frac{E}{16} = 425

This sets the quotient of total energy and number of units equal to the single unit amount.

Key Concept

Formulating one-step division equations from equal distribution scenarios

Question

Answer

Step-by-Step Solution

Key Concept

Common Mistakes

Topics

More questions from this topic