A linear function passes through the point (1,5)and (7,23)what are the rate of change and initial value?

The rate of change = 3

Initial value = 2

Step-by-step explanation:

The linear function has the form ⇒ y = mx + c

Where m is the slope or the rate of change, and c is y-intercept.

Given: A linear function passes through the point (1,5)and (7,23)

So, m = (y₂-y₁)/(x₂-x₁) = (23-5)/(7-1) = 18/6 = 3

So, y = 3x + c

By substitution with the point (1,5)

So, at x = 1 , y = 5

5 = 3*1 + c

c = 5 - 3 = 2

∴ y = 3x + 2

so, the rate of change = 3

And initial value = 2

initial value is the value at which x = 0 which is the y-intercept

5.25 ounces

step-by-step explanation:

divided 3/4 and 6

answer: a. 13/44

step-by-step explanation: judging by the information given to us, we are looking for experimental probability. we can see that 13 males have chosen chocolate ice cream. there are 44 ice creams in total (remember that the total is always the denominator). so our answer is 13/44.