The cost C of joining FitFast Gym includes an initial membership fee of $127, plus a monthly fee, m, of $28.
a. The cost of going to the gym is a function of the number of months of membership. Find a rule for the function.
b. Find the cost of using the gym for 9 months.
c. Graph the function.
A. a. C = 34m + 77
b. $379
c.
graphThe horizontal axis extends from 0 to 11 and is labeled 'Time (months).' The vertical axis extends from 0 to 500 and is labeled 'Cost ($).' On the left, the graph begins at the point 0 comma 90. The graph follows a line up and to the right through the point 11 comma 450.
B. a. C = 28m + 127
b. $379
c.
graphThe horizontal axis extends from 0 to 12 and is labeled 'Time (months).' The vertical axis extends from 0 to 500 and is labeled 'Cost ($).' On the left, the graph begins at the point 0 comma 140. The graph follows a line up and to the right through the point 8 comma 350.
C. a. C = 28m + 117
b. $369
c.
graphThe horizontal axis extends from 0 to 12 and is labeled 'Time (months).' The vertical axis extends from 0 to 500 and is labeled 'Cost ($).' On the left, the graph begins at the point 0 comma 120. The graph follows a line up and to the right through the point 12 comma 450.
D. a. C = –28m + 227
b. $53
c.
graphThe horizontal axis extends from 0 to 12 and is labeled 'Time (months).' The vertical axis extends from 0 to 500 and is labeled 'Cost ($).' On the left, the graph begins at the point 0 comma 230. The graph follows a line down and to the right through the point 8 comma 0.
The correct answer is option B:
a. C = 28m + 127 (Cost function is a linear equation with slope $28 and y-intercept $127)
b. $379 (Substitute m = 9 in the cost function: C = 28(9) + 127 = $379)
c. Graph:
a. The cost of going to the gym is a function of the number of months of membership. The rule for the function is C = 28m + 127.
b. To find the cost of using the gym for 9 months, substitute m = 9 into the function: C = 28(9) + 127 = $379.
c. The graph of the function is shown in option B. It follows a line up and to the right starting from the point (0, 140) and passing through the point (8, 350). The horizontal axis is labeled 'Time (months)' and extends from 0 to 12. The vertical axis is labeled 'Cost ($)' and extends from 0 to 500.
To answer these questions, we need to understand the given information about the cost of joining FitFast Gym.
The initial membership fee is $127, and there is also a monthly fee of $28.
a. The cost of going to the gym is a function of the number of months of membership. We can find the rule for this function by considering the initial membership fee and the monthly fee.
The monthly fee is added for each month of membership, so the rule for the cost function can be written as:
C = m * 28 + 127.
Therefore, the correct answer for the rule of the function is:
A. C = 34m + 77.
b. To find the cost of using the gym for 9 months, we can substitute the value of 9 for m in the cost function:
C = 9 * 28 + 127
C = 252 + 127
C = 379.
Therefore, the cost of using the gym for 9 months is $379.
c. To graph the function, we can plot points using time (in months) on the horizontal axis and cost (in dollars) on the vertical axis.
The correct graph for the cost function is:
B. Graph: The horizontal axis extends from 0 to 12, labeled 'Time (months).' The vertical axis extends from 0 to 500, labeled 'Cost ($).' On the left, the graph begins at the point 0, 140. The graph follows a line up and to the right through the point 8, 350.
Therefore, the correct answer is B.