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%

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%

step-by-step explanation:

no of data

divide by no of mode

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is