Linear function
x | f(x) = 2x + 5
1 | 7
2 | 9
3 | 11
4 | 13
5 | 15
6 | 17
linear functions grow by equal differences over equal intervals. in the table above, what column could be added to prove this relationship?
a) δx
b) δy
c) δx/y
d) δy/x

Step-by-step explanation:

Where we analyse a linear function, we must consider variations of each variable.

Also, linear functions variate according to its constant ratio of change, which is defined as

Which is the variation of the vertical value, regarding x-values.

So, if we want to show this variation, we must include a colum , which shows the variation we need, because it's the dependent value, then we can analyse the variation of the function for a certain x-interval.

Therefore, the right answer is B.

b

step-by-step explanation:

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet