<h2>
Answer:</h2>
The ratios of earnings to hours are not the same each week, so the earnings do not vary directly with the hours.
<h2>
Step-by-step explanation:</h2>
We know that the data points given by (x,y) are in direct variation if:
for each (x,y)
We are given data as:
Caleb’s Earnings Hours(x) 12 15 18 21
Earnings (in dollars)(y) 140 170 200 230
So, we could see the ratio as:
Hence, we could see that each ratio are not equal.
Hence, the relationship between the earnings and the number of hours does not represents a direct variation.
We are given the set of points
<span>{(1, 60), (2, 240), (3, 960), (4, 3840)}{(1, 60), (2, 240), (3, 960), (4, 3840)}
If w is the function name and t is the input variable, then the equation has the form
w = k a^t
Plugging in any two of the points to solve for k and a
Choosing </span>(1, 60) and (2, 240)<span>
60 = k a
k = 60 / a
240 = k a^2
Substituting
240 = 60/a (a^2)
a = 4
and
k = 60 / 4 = 15
The function is
w = 15 (4^t)</span>
180 because you multiply the 12 packs by 10 to get 120. Then you subtract 120 from 300
Answer:
$69
Step-by-step explanation:
Given the amount of money each girl spent based on the number of hours they were shopping modeled by the function p(x) = 3x4 + 2x3 − 4x2 + 21
To get how much they spend together if each go shopping for 2hours, we will substitute x = 2 into the given function as shown:
p(2) = 3(2)⁴ + 2(2)³ − 4(2)² + 21
p(2) = 3(16) + 2(8) − 4(4) + 21
p(2) = 48 + 16 − 16 + 21
p(2) = 48+21
p(2) = 69
Therefore they spend $69 together
1.50d is the right answer since we don't know how many drinks there are
