The expression 1350(1.05)^(t) models the average wages, in dollars, in the US as a function of the number of years since 1930 . What does 1.05 represent in this expression? Choose 1 answer: (A) The average wages double every 1.05 years. B) The average wages in the US were about $1.05 in 1930. (c) The average wages in the US increase by about 5% each year.

Expression Structure: The expression given is 1350(1.05)^(t), where t represents the number of years since 1930. To understand what 1.05 represents, we need to look at the structure of the expression. It is an exponential function, where the base of the exponent (1.05) indicates the rate of change per year.Rate of Change: In the context of the problem, since the base of the exponent is greater than 1, it suggests that the quantity is increasing over time. Specifically, a base of 1.05 indicates a 5% increase each year because 1.05 can be thought of as 100% (the original amount) plus 5% (the increase).Evaluation of Options: Now, let's evaluate the options given: (A) The average wages double every 1.05 years. - This is incorrect because the expression does not imply doubling; it implies a steady growth rate. (B) The average wages in the US were about $1.05 in 1930. - This is incorrect because the 1.05 is not a dollar amount; it's a multiplier for the growth rate. (C) The average wages in the US increase by about 5% each year. - This is correct because the base of the exponent (1.05) represents a 5% increase.

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The expression
1350(1.05)^(t) models the average wages, in dollars, in the US as a function of the number of years since 1930 .
What does 1.05 represent in this expression?
Choose 1 answer:
(A) The average wages double every 1.05 years.
B) The average wages in the US were about
$1.05 in 1930.
(c) The average wages in the US increase by about
5% each year.

The expression $1350(1.05)^{t}$ models the average wages, in dollars, in the US as a function of the number of years since $1930$ . $\newline$ What does $1$ . $05$ represent in this expression? $\newline$ Choose $1$ answer: $\newline$ (A) The average wages double every $1$ . $05$ years. $\newline$ (B) The average wages in the US were about $\$ 1.05$ in $1930$ . $\newline$ (C) The average wages in the US increase by about $5 \%$ each year.

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Math Problems

Algebra 2

Write exponential functions: word problems

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Q. The expression

1350(1.05)^{t}

models the average wages, in dollars, in the US as a function of the number of years since

1930

\newline

What does

1

05

represent in this expression?

\newline

Choose

1

answer:

\newline

(A) The average wages double every

1

05

years.

\newline

(B) The average wages in the US were about

\$ 1.05

1930

\newline

5 \%

each year.

Expression Structure: The expression given is $1350(1.05)^{t}$ , where $t$ represents the number of years since $1930$ . To understand what $1.05$ represents, we need to look at the structure of the expression. It is an exponential function, where the base of the exponent $(1.05)$ indicates the rate of change per year.
Rate of Change: In the context of the problem, since the base of the exponent is greater than $1$ , it suggests that the quantity is increasing over time. Specifically, a base of $1.05$ indicates a $5\%$ increase each year because $1.05$ can be thought of as $100\%$ (the original amount) plus $5\%$ (the increase).
Evaluation of Options: Now, let's evaluate the options given: $\newline$ (A) The average wages double every $1.05$ years. - This is incorrect because the expression does not imply doubling; it implies a steady growth rate. $\newline$ (B) The average wages in the US were about $\$1.05$ in $1930$ . - This is incorrect because the $1.05$ is not a dollar amount; it's a multiplier for the growth rate. $\newline$ (C) The average wages in the US increase by about $5\%$ each year. - This is correct because the base of the exponent $(1.05)$ represents a $5\%$ increase.