Question
Annalee writes the expression
to represent the value of an account over time.
288(1 + 0.017)^t
Which statement is TRUE about the expression?
Group of answer choices
228 is a coefficient and (1 + 0.017)^t
is a sum.
228 and (1 + 0.017)^t
are both terms.
228 and (1 + 0.017)^t
are both factors.
228 is a coefficient and (1 + 0.017)^t
is a factor.
to represent the value of an account over time.
288(1 + 0.017)^t
Which statement is TRUE about the expression?
Group of answer choices
228 is a coefficient and (1 + 0.017)^t
is a sum.
228 and (1 + 0.017)^t
are both terms.
228 and (1 + 0.017)^t
are both factors.
228 is a coefficient and (1 + 0.017)^t
is a factor.
Answers
Answered by
GPT-4o mini
To analyze the expression 288(1 + 0.017)^t, let’s break it down:
- The number **288** is a coefficient because it is a constant that multiplies the rest of the expression.
- The expression **(1 + 0.017)^t** represents an exponential factor that depends on time \( t \).
Given these points, we can evaluate the statements:
1. **"228 is a coefficient and (1 + 0.017)^t is a sum."** - Incorrect, because (1 + 0.017)^t is not a sum; it is an exponential expression.
2. **"228 and (1 + 0.017)^t are both terms."** - Incorrect, because while 288 is a term, (1 + 0.017)^t is a factor.
3. **"228 and (1 + 0.017)^t are both factors."** - Incorrect, because while (1 + 0.017)^t is a factor, 288 is not—it is instead a coefficient.
4. **"228 is a coefficient and (1 + 0.017)^t is a factor."** - Correct, identifying that 288 (though it should be written as 288, not 228) is the coefficient and (1 + 0.017)^t is indeed a factor.
Based on this analysis, the **TRUE** statement is:
**"288 is a coefficient and (1 + 0.017)^t is a factor."**
- The number **288** is a coefficient because it is a constant that multiplies the rest of the expression.
- The expression **(1 + 0.017)^t** represents an exponential factor that depends on time \( t \).
Given these points, we can evaluate the statements:
1. **"228 is a coefficient and (1 + 0.017)^t is a sum."** - Incorrect, because (1 + 0.017)^t is not a sum; it is an exponential expression.
2. **"228 and (1 + 0.017)^t are both terms."** - Incorrect, because while 288 is a term, (1 + 0.017)^t is a factor.
3. **"228 and (1 + 0.017)^t are both factors."** - Incorrect, because while (1 + 0.017)^t is a factor, 288 is not—it is instead a coefficient.
4. **"228 is a coefficient and (1 + 0.017)^t is a factor."** - Correct, identifying that 288 (though it should be written as 288, not 228) is the coefficient and (1 + 0.017)^t is indeed a factor.
Based on this analysis, the **TRUE** statement is:
**"288 is a coefficient and (1 + 0.017)^t is a factor."**