12.3 Linear Functions. Linear Function M= rate B= constant.

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12.3 Linear Functions

Transcript of 12.3 Linear Functions. Linear Function M= rate B= constant.

Page 1: 12.3 Linear Functions. Linear Function M= rate B= constant.

12.3 Linear Functions

Page 2: 12.3 Linear Functions. Linear Function M= rate B= constant.

Linear Function

• M= rate• B= constant

( )f x mx b

Page 3: 12.3 Linear Functions. Linear Function M= rate B= constant.

The Triad Truck Rental Company charges $35 per day plus $0.21 per mile. Find the cost of renting a truck for a one day trip of

340 miles?

M=$ 0.21 per mileB= $35

f(x) = 0.21 x +35f(340) = 0.21 (340) +35f(340) = $106. 40

Page 4: 12.3 Linear Functions. Linear Function M= rate B= constant.

A truck rental company charges $41 per day plus $0.24 for each mile over 100 miles.

Find the cost of renting a truck for three days during which it is driven 150 miles.

( ) $0.24 41( )f x x days

(50) $0.24(50) 41(3)f

(50) $135f

Page 5: 12.3 Linear Functions. Linear Function M= rate B= constant.

How far can you drive in three days and keep the cost under $150?

$150 $0.24 41(3)x

112x miles

100 112 212x miles

Page 6: 12.3 Linear Functions. Linear Function M= rate B= constant.

Homework

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