store that sells posters charges $ 7 a poster plus a fixed $ 1.50 for shipping and handling.
*1*Write a rule c (p) that describes the relationship between the number of posters p and the total cost for the posters (c)?
*2*What is the charge for four posters?
*3* If the cost is $ 43.50, how many posters where purchased?
1. C = 7p + 1.50.
2. C = 7*4 + 1.50 =
3. C = 7p + 1.50.
C = 43.50.
p = ?
1. To write a rule that describes the relationship between the number of posters and the total cost, we need to consider the two components: the cost per poster and the fixed cost for shipping and handling.
The cost per poster is $7, and the fixed shipping and handling cost is $1.50. Since the cost per poster remains the same regardless of the number of posters, we can use the formula:
c(p) = (7 * p) + 1.50
Where:
c(p) represents the total cost,
p represents the number of posters,
7 represents the cost per poster, and
1.50 represents the fixed shipping and handling cost.
2. To find the charge for four posters, we can substitute the value of p with 4 in the formula:
c(4) = (7 * 4) + 1.50
c(4) = 28 + 1.50
c(4) = $29.50
Therefore, the charge for four posters would be $29.50.
3. To find out how many posters were purchased if the cost is $43.50, we can rearrange the formula and solve for p:
c(p) = (7 * p) + 1.50
43.50 = (7 * p) + 1.50
42 = 7 * p
p = 42 / 7
p = 6
Therefore, if the cost is $43.50, it means that six posters were purchased.