Write an equation for the function that includes the points (3,12) and (4, 24) 10 points
fx=6/3 * 2^x
fx= 3/2 * 2^x
fx = 2x

Equation for the function is:

f(x) = (3/2) · 2ˣ

Step-by-step explanation:

We have been provided with 2 points

Point 1 : (3, 12)

Point 2 : (4, 24)

Testing all three equations:

Substitute x of Point 1 in the equation

f(x) = (6/3) · 2³

f(x) = 16

y = 16 ≠ 12

NOT TRUE

Substitute x of Point 2 in the equation:

f(x) = (6/3) · 2⁴

f(x) = 32 ≠ 24

NOT TRUE

Substitute x of Point 1 in the equation

f(x) = (3/2) · 2³

f(x) = 12

y = 12

TRUE

Substitute x of Point 2 in the equation:

f(x) = (3/2)· 2⁴

f(x) =  24

TRUE

Substitute x of Point 1 in the equation

f(x) = 2(3)

f(x) = 6

y = 6 ≠ 12

NOT TRUE

Substitute x of Point 2 in the equation:

f(x) = 2(4)

f(x) = 8 ≠ 24

NOT TRUE

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.