The ratio of chris and dom's ages is
3: 4
in 7 years time this ratio will be 4: 5
how old is dom?
(incorrect answers will be reported)

➷ 3x + 7 / 4x + 7 = 4/5

Cross multiply:

5(3x + 7) = 4(4x + 7)

Expand:

15x + 35 = 16x + 28

Subtract 28 from both sides:

15x + 7 = 16x

Subtract 15x from both sides:

x = 7

4(7) = 28

Dom is 28 years old

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  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)