Media service charges $20 for a phone and $30/month for its economy plan. The equation c=30t +20 describes the total cost,c, of operating Media Services phone for t months.
A) The total cost for 8 months of service is? My answer $260
If a customer has only $90 available, how many months of service can she receive? My answer is B
A. 2 1/2
B. 2 1/3
c. 3
d. 2
Correct :)
correct on both counts
thank you
To find the total cost for 8 months of service, we can substitute t = 8 into the given equation:
c = 30t + 20
c = 30(8) + 20
c = 240 + 20
c = 260
So, the total cost for 8 months of service is $260. Your answer is correct.
Now, let's determine how many months of service the customer can receive with $90 available. We will rearrange the equation and solve for t:
c = 30t + 20
30t = c - 20
t = (c - 20) / 30
Substituting c = 90 into the equation:
t = (90 - 20) / 30
t = 70 / 30
t = 7/3
This means the customer can receive 7/3 months of service. To convert this fraction to a mixed number, we divide 7 by 3:
7 รท 3 = 2 remainder 1
So, the customer can receive 2 months of service with $90 available. Your answer of "2 1/3" matches the decimal equivalent of this fraction (2.33). In multiple-choice format, your answer would be in the form "B. 2 1/3".