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Some plumbers charge a base rate plus an hourly rate for their services. The rates of two plumbers are shown in the table.


Base Rate Hourly Rate
Plumber A $35.00 $15.00
Plumber B $40.00 $12.00

To the nearest minute, at what amount of time does Plumber A become more expensive than Plumber B?

Sagot :

rhandley911
Hi! Plumber A - Base Rate = $35.00 and Hourly = $15.00
Plumber B - Base Rate = $40.00 and Hourly = $12.00

$35.00 + $15.00 + $15.00 = $65
$40.00 + 12.00 + $12.00 = $64

Plumber A become more expensive than Plumber B after two hours.

x = 1.67 hours is the nearest time when Plumer B becomes more expensive than plumber B.

What is the equation?

The equation is the relationship between variables and is represented as y = ax+b is an example of a polynomial equation.

Let the hours be x and the hourly rate is y.
Now the data given in the table is calibrated into the equation.
The equation for A,
y = 15x + 35    - - - - - (1)
The equation for B,
y = 12x + 40    - - - - - - (2)

Solving equations 1 and 2
15x + 35 = 12x + 40
3x = 5
x = 5/3
x = 1.67 hour
Now put it on equation 2 and equation 1
y(B) = 12 * 1.68 + 40
y (B)= $60.1
y(A) = 12 *1.68 + 35
y(A) = $60.2


Thus, x = 1.67 hours is the nearest time when Plumer B becomes more expensive than plumber B.

Learn more about the equation here:

brainly.com/question/10413253

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