Select the correct answer.Betty has a checking account and a non-interest-bearing savings account. Function C represents her checking account balance, where x is the number of months. Function S represents her saving account balance.𝐶(𝑥)=-∣240𝑥−140∣+1,400𝑆(𝑥)=450𝑥+100Which function represents Betty's total account balance, 𝑇(𝑥) ? A. 𝑇(𝑥)=-∣240𝑥−140∣+450𝑥+1,500 B. 𝑇(𝑥)=-∣240𝑥−140∣+450𝑥+1,300 C. 𝑇(𝑥)=-∣240𝑥−140∣+450𝑥+1,400 D. 𝑇(𝑥)=∣240𝑥+140∣+450𝑥+1,500
Question
Select the correct answer.Betty has a checking account and a non-interest-bearing savings account. Function C represents her checking account balance, where x is the number of months. Function S represents her saving account balance.𝐶(𝑥)=-∣240𝑥−140∣+1,400𝑆(𝑥)=450𝑥+100Which function represents Betty's total account balance, 𝑇(𝑥) ? A. 𝑇(𝑥)=-∣240𝑥−140∣+450𝑥+1,500 B. 𝑇(𝑥)=-∣240𝑥−140∣+450𝑥+1,300 C. 𝑇(𝑥)=-∣240𝑥−140∣+450𝑥+1,400 D. 𝑇(𝑥)=∣240𝑥+140∣+450𝑥+1,500
Solution
The total account balance, T(x), would be the sum of the checking account balance, C(x), and the savings account balance, S(x).
So, T(x) = C(x) + S(x)
Substituting the given functions into the equation gives:
T(x) = [-|240x - 140| + 1400] + [450x + 100]
Simplifying the equation gives:
T(x) = -|240x - 140| + 450x + 1500
So, the correct answer is A. 𝑇(𝑥)=-∣240𝑥−140∣+450𝑥+1,500.
Similar Questions
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