Question

Please help me solve this question will give you braisnlt !

Answer 1

t = 54m + 160

Explanation:

Input = m

Output = t

Equation of the function in slope-intercept form, is represented as t = km + b

Where,

k = slope/rate of change

b = y-intercept

Using two pairs, say, (2, 268) and (3, 322):

`slope(j) = (y_2 - y_1)/(x_2 - x_1) = (322 - 268)/(3 - 2) = (54)/(1) = 54`

k = 54

Find b, by substituting m = 2, t = 268, and k = 54 into t = km + b.

Thus:

268 = (54)(2) + b

268 = 108 + b

268 - 108 = b (subtraction property of equality)

160 = b

b = 160

To find the equation of the function, substitute k = 54, and b = 160 into t = km + b.

Thus:

t = 54m + 160