Question

drag and drop the answers into the boxes to correctly complete the statement.
the rate of change of the function is
this represents the
and is measured in
the initial value of the function is
this represents the
and is measured in
20 dollars dollars per gigabyte gigabytes per dollar monthly fee 10
cost per gigabyte of data 30 5

Explanation:

Step1: Analyze Rate of Change

The rate of change of a function (slope in linear functions) for a cost - data - related context (like cost per gigabyte) should have units related to cost per unit of data. From the options, "5" (assuming it's the rate, maybe from a linear function like \(y = 5x+20\) where \(x\) is gigabytes and \(y\) is cost) and the unit "dollars per gigabyte" makes sense as rate of change (cost per gigabyte of data). So rate of change is 5, represents cost per gigabyte of data, measured in dollars per gigabyte.

Step2: Analyze Initial Value

The initial value of a linear function (y - intercept) in a cost - data context (like monthly fee) would be a fixed cost. From options, "20" (assuming from \(y = 5x + 20\)) and the unit "dollars" makes sense as initial value (monthly fee), measured in dollars.

Answer:

The rate of change of the function is \(\boldsymbol{5}\). This represents the \(\boldsymbol{\text{cost per gigabyte of data}}\) and is measured in \(\boldsymbol{\text{dollars per gigabyte}}\).
The initial value of the function is \(\boldsymbol{20}\). This represents the \(\boldsymbol{\text{monthly fee}}\) and is measured in \(\boldsymbol{\text{dollars}}\).