Question

A delivery service charges a base price for an overnight delivery of a package plus an extra charge for each point the package weighs . To ship 3 pound package , a customer is billed 22.85 and to ship a 10 pound package , the customer is billed 40$

Answer 1

Answer: $2.45

Explanation:

y+3x=22.85............. equation 1

10x=40

Where y ; is the base

y = 40-10x

substitute y into equation 1 (40 - 10x)

= 40-10x + 3x =22.85

Collect like terms

-10 +3x = 22.85 - 40

-7x = -17.15

Divide both side by -7

-7x / -7 = -17.15 /-7

x = $2.45

$2.45 is the price per pound

y + 10 × 2.45 = 40

Where y is the base

y + 10 × 2.45 = 40

y + 24.50=40

y = 40 - 24.50

y = 15.50

Answer 2

Explanation:

BASE + 3x = 22.85.....................equation 1

BASE + 10x = 40..........................equation 2

BASE = 40 - 10x

NOW SUBSTITUTE (40-10x) FOR BASE IN THE FIRST EQUATION

40 - 10x + 3x = 22.85

-7x = 22.85 - 40

-7x = -17.15

x = -17.15/-7

x = $2.45 IS THE PRICE FOR EACH POUND.

BASE + 10 x 2.45=40

BASE + 24.50=40

BASE = 40-24.50

BASE = 15.50 IS THE BASE PRICE FOR THE DELIVERY.

PROOF

15.50+3*2.45=22.85

15.50+7.35=22.85

22.85=22.85