The initial temperature difference of 101-45 = 56 degees declined to 101-55 = 46 degrees in 8 minutes, We can write the exponential equation for the soda's temperature as
... T = 101 -56(46/56)^(t/8) . . . . where t is in minutes
After an additional 10 minutes, we have t=18, so the soda temperature will be
... T = 101 -56(46/56)^(18/8) ≈ 65.0 . . . degrees
Answer:
y = 6,350 + 392x
Step-by-step explanation:
There are two steps to this problem. The first step is to make an equation for the cost of each company. The cost of each one involves 2 variables. However, we can ignore the number of days since the question asks for per day.
CostA = 90 + .40(miles)
CostB = 30 + .70(miles)
We want to know when A is a better deal or when A costs less. That is when CostA < CostB. We can then substitute the right sides of our equations into the inequality. This will give:
90 + .40(miles) < 30 + .70(miles) This is where we will now begin to solve for the number of miles.
-30 -30 Subtract 30 from both sides.
60 + .4(miles) < .7(miles) Simplify
-.4(miles) -.4(miles) Subtract .4(miles) from both sides
60 < .3(miles) Simplify
/.3 /.3 Divide both sides by .3
200 < miles Simplify
So for A to cost less the number of miles must be greater than 200.
Answer: $ 6
Step-by-step explanation:
Here, the cost price of each soup = x dollars
The cost price of 16 soup = 16 x
The selling price of 16 soup = 16 x + 96
Since, the total money received for 16 soup = The selling price of 16 soup - The cost price of 16 soup
= 16 x + 96 - 16 x
= 96
Thus, the total money received for 16 soup = 96 dollars
⇒ The total money received for 1 soup =
dollars
⇒ The total money received for 1 soup = 6 dollars
Hence, for each soup 6 dollars is received.
The minutes will be ur x axis and the cm of snow will be ur y axis
(10,2),(30,3.6).....using 2 points and the slope formula : (y2 - y1) / (x2 - x1)
slope = (3.6 - 2) / (30 - 10) = 1.6 / 20 = 0.08 cm per minute <===