Question

The customized-water-bottle company charges an order processing fee with each other, plus the cost of each water bottle ordered. The Equation (Cost=1.2b+20) can be used to find the cost of B (water bottles). When Jerome goes to the company's website to order the customized water bottles, he discovers that the company has increased its price for each water bottle by 15% but has reduced the order-processing fee by 15$. How will these changes affect the equation that can be used to find the cost of the water bottles? What is the new equation that can be used to find the cost of the water bottles?

Answer 1

1.The changes will increase the price for each water bottle by a factor of 0.8 and reduce the cost of placing an order by $3.

2.Equation will be : Cost = 1.38 b +17

Explanation:

Given the equation for cost as ;

Cost= 1.2 b +20 where ;

20 = a charge of the order processing fee

1.2 b = cost of each water bottle ordered.

Increasing the price for each water bottle by 15% will be;

Increase 1.2 b by 15%

1.2 b * 115/100 = 1.38 b

Reducing the order processing fee by 15% will be;

Decrease $20 by 15%

20 * 85/100 = $ 17

The new equation for cost will be ;

Cost = 1.38 b +17

The old equation for cost was;

Cost =1.2 b +20

The change in cost of customized -water -bottle charges will be;

(1.38 b +17 ) - (1.2 b +20 ) = 0.18 b -3

Lets assume for 10 bottles , b=10

Old cost will be: 1.2 *10 +20 = 12+20 =$32

New cost will be : 1.38 *10 +17 = 13.8 +20=$ 33.8

This means that after the changes, the cost of water bottle increased.