Question

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Answer 1

The constant of proportionality in terms of the cost per text is the coefficient of $t$ in the equation $b=0.25t$. Since the coefficient of $t$ is 0.25, the constant of proportionality in terms of the cost per text is 0.25.
Proportionality constants are usually expressed as fractions, so lets convert 0.25 to a fraction. To do that we are going to add the denominator 1 to our decimal, and then we will multiply both numerator and denominator by ten for every number after the decimal point:
$\frac{0.25}{1}$
$\frac{0.25}{1} . \frac{100}{100} = \frac{75}{100}$
Finally, we can simplify our fraction:
$\frac{25}{100} = \frac{1}{4}$

We can conclude that the constant of proportionality in text of the cost per text is 1/4