P(n) models the price (in dollars) of a pack of n bulbs at a certain store.
2 answers:
Answer:
Option A.
Step-by-step explanation:
The given question is incomplete. Here is the complete question.
P(n) models the price (in dollars) of a pack of n bulbs at a certain store.
When does the price of a pack increase faster ?
n 4 10 12
P(n) 12 25 28
When does the price of a pack increase faster ?
A. Between 4 and 10 bulbs
B. Between 10 and 12 bulbs
C. The price increases at the same rat over both the intervals.
To solve this question we will find the rate of increase in the prices per pack in the given intervals.
From n = 4 to n = 10
Rate of increase in price =
=
= 2.166 ≈ $2.17 per pack
From n = 10 to n = 12
Rate of increase in price =
=
= $1.5 per pack
Therefore, price per pack increases faster between n = 4 and n = 10 as compared to n = 10 to n = 12.
Option A is the answer.
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It takes 10 minutes for the two lines to have filled an equal number of barrels
Each line will have filled 90 barrels
<em><u>Solution:</u></em>
Let "x" be the number of minutes
<em><u>The old conveyer line has filled 20 barrels of paint, and is filling more at a rate of 7 barrels per minute</u></em>
Thus, a equation is framed as follows:
Old conveyor: 20 + 7(number of minutes)
Old conveyor: 20 + 7x ------- eqn 1
<em><u>A worker just switched on a newer line that can fill 9 barrels per minute</u></em>
Thus, a equation is framed as follows:
New conveyor: 9(number of minutes)
New conveyor: 9x -------- eqn 2
<em><u>In a little while, the two lines will have filled an equal number of barrels.</u></em>
<em><u>Thus, eqn 1 must be equal to eqn 2</u></em>
Thus it takes 10 minutes for the two lines to have filled an equal number of barrels
<em><u>How many barrels will each line have filled? </u></em>
Substitute x = 10 in any one of equations
Substitute in eqn 2
9x = 9(10) = 90
Thus each line will have filled 90 barrels