The total cost during a school year to attend a given number of daces is a
linear function of the number of dances attended.
The correct responses are;
- Part A; The function for the total cost is; <u><em>c</em></u><u> = 50 + 4·n</u>
- Part B; The total cost for attending 15 dances is; <u>c = $110</u>
- 1. The initial cost is $50 and the rate is $4
- 2. The annual fee, the admission price, and the number of dances attended
- 3. The solution are: Part A; <em>c</em> = 50 + 4·n, Part B; c = $110
Reasons:
The given parameter are;
Admission price per person = $4
The annual fees members pay = $50
A. The function that can be used to determine <em>c</em> is a linear function, with a y-intercept (initial value) of 50 and a rate (slope) of 4
The total cost to attend <em>n</em> dances a year, <u><em>c</em></u><u> = 50 + 4·n</u>
B. If a member attends 15 dances a year, we have;
n = 15
Therefore;
The total cost, c = 50 + 4 × 15 = 110
The total cost for 15 dances a year, c = <u>$110</u>
1. As the number of dances attended increase, the total cost increase, and the cost when no dance is attended by a member during the year is $50.
2. The essential information that can be used to find the solution are;
- <u>The </u><u>admission price</u><u> for each person</u>.
- <u>The </u><u>annual fee</u><u> for membership dues</u>.
- <u>The</u><u> number of dances</u><u> a member attends in a year</u>.
3. Part A; <em>c</em> = 50 + 4·n
Part B; c = $110
Learn more about linear functions here:
brainly.com/question/20478559
