Graph the line that represents a proportional relationship between ddd and ttt with the property that an increase of 0.20.20, point, 2 units in ttt corresponds to an increase of 1.81.81, point, 8 units in ddd. what is the unit rate of change of ddd with respect to ttt? (that is, a change of 111 unit in ttt will correspond to a change of how many units in d? d? d, question mark)

Part a) The unit rate of change of d with respect to t is equal to

Part b) The graph of the line in the attached figure

Step-by-step explanation:

we know that

A relationship between two variables, t, and d, represent a proportional variation if it can be expressed in the form or

step 1

Find the value of k

we have

substitute

so

the linear equation is equal to

step 2

using a graphing tool

graph the line

answer

explanation

the area of a circle is calculated using the formula

or

we can use any of the above formulae to calculate the required. preferably, let us use the latter since the diameter is

we substitute the diameter into the formula to get:

this is the exact value for the area of the circle.

the correct answer is a