Which table represents the rate of irene building model trains?

"Table 1"

Step-by-step explanation:

The number line given shows that in 1 week, Irene can build 9 model trains.

So the ratio is 1 : 9 [week : train]

Given the table with larger numbers, we have to see which table holds this ratio true.

Table 1:

5 week 45 trains = 45/5 = 9 trains per week

12 week 108 trains = 108/12 = 9 trains per week

26 week 234 trains = 234/26 = 9 trains per week

Table 1 is OK.

Table 2:

90 week 10 trains = 1/9 train per week

126 week 14 trains = 1/9 train per week

315 week 35 train = 1/9 train per week

Table 2 is certainly NOT OK.

Thus, Table 1 represents the correct rate of Irene.

the correct functions are

h(x) = 3x + 2  

g(x) = 2^x

step-by-step explanation:

i proceed to calculate the different values ​​of k (x)

case 1)  k(x) = g(x) ∘ h(x)

g(x) ∘ h(x)=g(h(x))

k(x) = [2]^[3x + > is the option  4. k(x) = 2^(3x + 2 )

case 2)  k(x) = g(x) + h(x)

k(x) = [2^x]+[3x + 2]=2^x+3x+> is the option  1.) k(x) = 2^x + 3x + 2

case 3)k(x) = h(x) ÷ g(x)

k(x) =  [3x + 2]/[2^x]=3x/(2^x)+2/(2^x)=3x*(2^-x)+2^(1-x)

is the option  3.)   k(x) = (3x)2^(-x) + 2^(-x + 1 )

case 4)k(x) = g(x) - h(x)

k(x) =  [2^x]-[3x + 2]=2^x-3x-> is the option  2.) k(x) = 2^x - 3x - 2 

case 5)  k(x) = g(x) × h(x)

k(x) = [2^x]*[3x + > is the option  5.) k(x) = 2^x(3x + 2)

case 6)k(x) = h(x) ∘ g(x)

h(x) ∘ g(x)=h(g(x))

k(x)=3*[2^x]+> is the option  6. k(x) = 3(2^x) +2

this is a good question! i’ll do some research and what i find, i’ll contact you asap when i have something! ✊