Question

type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar. kieran subscribes to a text - messaging service on his cell phone. his monthly bill for the service is given by the equation b = 0.25t, where b is the bill amount and t is the number of texts. the constant of proportionality in terms of cost per text is

Explanation:

Step1: Recall the form of direct - proportion

The equation for direct proportion is $y = kx$, where $k$ is the constant of proportionality. In the given equation $b = 0.25t$, $b$ is like $y$ (the dependent variable, the bill amount) and $t$ is like $x$ (the independent variable, the number of texts), and the coefficient of $t$ is the constant of proportionality.

Step2: Identify the constant of proportionality

Comparing $b = 0.25t$ with $y=kx$, we can see that the constant of proportionality $k = 0.25$.

Answer:

$0.25$