Question

You work two jobs. You earn $14.50 per hour as a salesperson and $11.60 per hour stocking shelves. Your combined earnings this month are $116.00. Let x represent the number of hours worked stocking shelves and let y represent the number of hours worked in sales. Graph the equation that models this situation.

A) y = 14.50x + 11.60y = 116.00

B) y = 14.50x + 11.60

C) x = 14.50y + 11.60x

D) y = 116.00x - 11.60y

A bathtub is draining at a constant rate. After 1 minute, it holds 32 gallons of water. Four minutes later, it holds 16 gallons of water. Write an equation that represents the number y of gallons of water in the tub after x minutes.

A) y = 32 - 4x

B) y = 32 - 8x

C) y = 32 - 2x

D) y = 32 - x

Answer 1

The graph of equation 11.60x + 14.50y = 116.00 that models the situation is attached.

• The equation that represents the number y of gallons of water in the tub after x minutes is y = 32 - 4x. option A

How to solve equation?

Let

x represent the number of hours worked stocking shelves

y represent the number of hours worked in sales

The equation:

11.60x + 14.50y = 116.00

After 1 minute, it holds 32 gallons of water

4 minutes later, that is, at 5 minutes it holds 16 gallons of water

(1, 32) (5, 16)

slope, m = (y2 - y1) / (x2 - x1)

= (16 - 32) / (5 - 1)

= 16/4

= -4

b = constant = 32

Equation of the line:

y = mx + b

y = -4x + 32