Iwill award by what percent will the product of two numbers change, if the first number increases by 70%, while the second number decreases by 40%.

2 percent increase

Step-by-step explanation:

Let x be the first number

It increases by 70 %

The new number is

m = x+ .70x

   = 1.7x

Let y be the second number

It decreases by 40 %

The new number is

n =y - .40 y

  = .6y

The product of the original numbers is xy

The product of the new number is

mn = (1.7x * .6y) = 1.02xy

The new number is larger than the old number so it is an increase.

Percent increase is  new - original divided by original  times 100%

Percent increase = (1.02 xy - xy)

                                 * 100%

                                 xy  

                           = .02 xy

                                * 100 %

                                 xy  

                            = .02 * 100 %

                             = 2%

Lets use 3 and 2:

3 x 2 = 6

If 3 is increased by 70%, the new number would be 3 * 1.70 = 5.1 9

2 is decreased by 40%, the new number would be 2 * 0.60 = 1.2

Product of new numbers: 1.2 * 5.1 = 6.12

Subtract original product from new product:

6.12 - 6 = 0.12

Divide the difference by original product and multiply by 100:

0.12 / 6 = 0.02 = 2% increase

The product of two numbers would increase by 2%