Write a polynomial if x-intercepts at x=2, and -3
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Based on the calculations, Kirk bought 2.4 bags of popcorn and 7.2 sodas.
- Let the number of sodas bought be s.
- Let the number of bags of popcorn be p.
<u>Given the following data:</u>
- Cost of soda = $4.50.
- Cost of popcorn = $1.50.
- Total price = $36.
a. To write a system of equations that models this scenario:
<h3>What is a system of equations?</h3>A system of equations can be defined as an algebraic equation of the first order that has two (2) variables with each of its term having an exponent of one (1).
<h3>For the soda and popcorn:</h3> ...equation 1.
Translating the word problem into an algebraic expression, we have;
Three times as many bags of popcorn as sodas:
...equation 2.
b. To determine how many of each item Kirk bought:
Substituting eqn. 2 into eqn. 1, we have:
p = 2.4 bags of popcorn
<u>For soda:</u>
s = 7.2 sodas.
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