AnswersGA-8th Grade Mathematics-B CCSS 23-24 GLProblem Solving with SystemsQuestion 1
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AssignmentMultiple Choice

Problem Solving with Systems

Question 1 • GA-8th Grade Mathematics-B CCSS 23-24 GL

The monthly texting plan of All Star Cell is $11 per month and $0.25 per text. The monthly texting plan of Top Line Cell is $14 per month and $0.15 per text. A student wants to set up a system of equations to find the number of texts for which the total monthly cost of the two companies is the same. He uses the variables x and y. He lets y represent the total monthly cost. What will x represent?

Answer
A
x = number of texts
B
x = number of texts
C
x = cost of the total number of texts
D
x = cost of the total number of texts
E
x = total monthly cost
F
x = total monthly cost
G
x = cost of each text
H
x = cost of each text

Explanation

Since y represents the total monthly cost, x should represent the number of texts sent. The plans can then be modeled as y = 11 + 0.25x and y = 14 + 0.15x, where the fixed monthly charge and per-text cost determine y. Choice A, “x = number of texts,” states this.

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