Ray and Claudia are writing in journals. Ray has written 16 pages and he now writes 2 pages every day. Claudia has written only 2 pages, but she now writes 4 pages every day. In how many days will they have written the same number of pages?

6 days

Step-by-step explanation:

Step one:

Given data

For Ray

He has 16 pages already

Now he is writing 2 pages per day

let x be the number of days

and y be the total number of pages writen

the linear function for the situation is given as

y=2x+161

For Claudia

He has 2 pages already

Now he is writing 4 pages per day

let x be the number of days

and y be the total number of pages writen

the linear function for the situation is given as

y=4x+22

Step two:

let us equate equation 1 and 2 to find x

2x+16=4x+2

collect like terms

2x-4x=2-16

-2x=-12

divide both sides by -2

x=12/2

x=6

Therefore it will take 6 days for them to have the same number of pages

add an !

step-by-step explanation:

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17