Question

As a motivational speaker, Bree speaks at school assemblies, charging a school

district for her travel costs and a fixed amount per assembly. Bree used the equation C= 50a + 1,500 to determine the charge of dollars to speak at
a assemblies in the Escambia City School District. Bree charged the district $4,250
to speak at school assemblies. How many assemblies did Bree speak at in this district?

Answer 1

Bree spoke at 55 assemblies in this district.

Explanation:

Bree speaks at school assemblies charging a school district a total cost C modeled by the equation:

C(a) = 50a+1,500

Being a the number of assemblies attending the meeting.

It's given Bree charged the Escambia City School District $4,250 to speak at school assemblies.

We can find the number of assemblies by solving the equation:

50a+1,500=4,250

Subtracting 1,500:

50a=4,250-1,500=2,750

Dividing by 50;

a = 2,750 / 50=55

Bree spoke at 55 assemblies in this district.