Answer:
Gloria would text 360 words if Erica texted 500 words.
Explanation:
Let 'y' be the number of words Gloria texts
Let 'x' be the number of words Erica texts
Given that the relationship is proportional
y ∝ x
y = kx
where 'k' is called the constant of proportionality
Given
substituting the values to determine the constant of proportionality 'k'
k = y / x
= 18 / 25
Thus, the constant of proportionality = k = 18/25
When Erica texted 500 words, we need to determine the number of words Gloria will text.
so
k = 500
y = ?
k = y / x
y = kx
= 18 / 25 × 500
= 360 words
Thus, Gloria would text 360 words if Erica texted 500 words.