The function d(x) = 3x + 2 determines how many donuts need to be purchased for a meeting, where x is the number of people at the meeting. The office manager uses h(d(x)) to find the amount of money to bring for the donut purchase. The function h(x) = 2x + 7. Solve for how much money to bring when there are 8 people in the meeting.
First, determine the number of donuts that needs to be purchased for 8 people in the meeting by substituting 8 to the function, d(x).
d(8) = 3x + 2 = (3)(8) + 2 = 26
Use this value to be x in the function h(x).
h(26) = 2x + 7 = 2(26) = 59
Therefore, the manager should shed out 59 to buy the donuts.