Question

An electric company calculates a person's monthly bill from the number of
kilowatt-hours (kWh), x, used.
The function
b(c)
{
0.102,
X is greater than or equal to 200
0.15(x – 200) + 20, 2 > 200
determines the
bill.
How much is the bill for a person who uses 400 kWh in a month?

Answer 1

Answer:

The bill is $30

Step-by-step explanation:

Given

$b(x) = \left \{ {{0.10x,\ x \le 200} \atop {0.15(x - 200)\ x > 200}} \right.$

See attachment

Required

Determine the bill when KWh = 400

From the given piece-wise function.

We make use of:

$b(x) = 0.15(x - 200)$

Because $400 > 200$

Substitute 400 for x in b(x)

$b(400) = 0.15 * (400 - 200)$

$b(400) = 0.15 * 200$

$b(400) = 30$

The bill is $30