question 31, p2.115\npart 1 of 5\nthe graph shows the cost, in billions of dollars (left columns), and the…

question 31, p2.115\npart 1 of 5\nthe graph shows the cost, in billions of dollars (left columns), and the enrollment (right columns), in millions of people, for various federal social programs for a recent year. answer parts (a) - (d).\na. express the federal cost for social security in scientific notation.\nthe federal cost for social security in scientific notation is $ \n(use scientific notation. use the multiplication symbol in the math palette as needed.)

question 31, p2.115\npart 1 of 5\nthe graph shows the cost, in billions of dollars (left columns), and the enrollment (right columns), in millions of people, for various federal social programs for a recent year. answer parts (a) - (d).\na. express the federal cost for social security in scientific notation.\nthe federal cost for social security in scientific notation is $ \n(use scientific notation. use the multiplication symbol in the math palette as needed.)

Answer

Explanation:

Step1: Identify the cost value

The federal cost for Social - Security from the graph is 537 billion dollars. Since 1 billion = $10^{9}$, 537 billion = 537×$10^{9}$.

Step2: Convert to scientific notation

537 can be written as 5.37×100 = 5.37×$10^{2}$. So, 537×$10^{9}$=(5.37×$10^{2}$)×$10^{9}$.

Step3: Use the exponent rule

According to the rule $a^{m}\times a^{n}=a^{m + n}$, (5.37×$10^{2}$)×$10^{9}$ = 5.37×$10^{2 + 9}$=5.37×$10^{11}$.

Answer:

$5.37\times10^{11}$