Question

The county water department charges a service fee of $10.15 plus $0.005 for each gallon of water used. The inequality shown is used to determine the number of gallons of water, x, used by customers whose monthly charges range from $35 to $55. Which statement best describes the gallons of water used by the customers with charges represented by the inequality above? A. These customers use more than 6,990 gallons but less than 10,990 gallons of water per month. B. These customers use at least 4,970 gallons but no more than 8,970 gallons of water per month. C. These customers use at least 6,990 gallons but no more than 10,990 gallons of water per month. D. These customers use more than 4,970 gallons but less than 8,970 gallons of water per month.

Answer 1

Answer:

Option B. These customers use at least 4,970 gallons but no more than 8,970 gallons of water per month

Step-by-step explanation:

Let

x -----> the number of gallons of water, used by customers

we know that

The system of inequalities that represent this situation is

$10.15+0.005x\geq 35$ -----> inequality A

$10.15+0.005x\leq 55$ -----> inequality B

Solve the inequality A

subtract 10.15 both sides

$0.005x\geq 35-10.15$

$0.005x\geq 24.85$

divide by 0.005 both sides

$x\geq 4,970\ gal$

Solve the inequality B

subtract 10.15 both sides

$0.005x\leq 55-10.15$

$0.005x\leq 44.85$

divide by 0.005 both sides

$x\leq 8,970\ gal$

therefore

These customers use at least 4,970 gallons but no more than 8,970 gallons of water per month