Determine the pattern rule for the table and write it as an equation.

The rule is: y = -10x+85

Step-by-step explanation:

The rule is given by:

Here m is the gradient and b is the y-intercept.

We have to take two pairs of input-output to find the rule

Let the two pairs be:

(x1,y1) = (1,75)

(x2,y2) = (2,65)

Slope is found using the formula:

Putting the values

Putting the value of slope

Putting a pair of input-output in the equation (1,75)

Putting the value of b

Hence,

The rule is: y = -10x+85

t = 3

step-by-step explanation:

put t = 3 in this expression :

(3²-1)(3²-2)(3² - 3)(3² - 4) = 8×7×6×5 = 56×30 = 1680