Determine whether the table could represent a function that is linear, exponential, or neither. if the function is exponential or linear, find a function that passes through the points. if the function is neither exponential nor linear, type none.

x 1 2 3 4
f(x)70 40 10 -20
f(x)=

Linear

y = -30x + 100

Step-by-step explanation:

The table has a set of inputs with matching outputs. The behavior of the outputs will determine the type of function. The outputs appear to descend at a constant subtraction rate of -30 each time.

70 - 30 = 40

40 - 30 = 10

10 - 30 = -20

etc.

A constant addition or subtraction rate is a slope. Since the function has a slope, this is a linear function.

To write the function you'll need a slope and a y-intercept. Recall, the y-intercept is where x = 0. This is not in the table but can be found by reversing the process by adding 30 + 70 = 100.

Substitute m = -30 and b = 100 into y = mx+b for the equation.

y = -30x + 100

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3