The linear function that represent the cost per pound of the gummy bears in x years after 2000 is given by:
y(x) = 0.0425x + 0.38
<h3>What is a linear function?</h3>
A linear function is modeled by:
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, which can also be interpreted as the initial value of the function.
In this problem, we have that:
- In 2000, Carl’s Candy Shop sold gummy bears for $0. 38 per pound, hence b = 0.38.
- In 2008 they cost $0.72 per pound, that is, in 8 years there was an increase of $0.34 per pound, hence the slope is m = 0.34/8 = 0.0425.
Thus, the function is:
y(x) = 0.0425x + 0.38
More can be learned about linear functions at brainly.com/question/24808124
Step-by-step explanation:
8(5g+5−2)=8×5g+3×8=40g+24
Answer:
22.4
Step-by-step explanation:
using altitude theorem, the height of the triangle is 20
let y = height
10/y = y/40
y² = 400
y = 
or 20
Now we can us the Pythagorean Theorem to find 'x':
10² + 20² = x²
100 + 400 = x²
x=
≈ 22.4
Answer:
1) solution is y = -7
2.) DNE
3.) Solution is y = -2
Step-by-step explanation:
1.) 2+3 = y + 12
Add the LHS and make y the subject of formula
5 = y + 12
Y = 5 - 12
Y = - 7
The solution of the equation is - 7
2.) 2 + 13 = 1 +8
Since there is no unknown variable and the sum of the numbers in the left hand side ( LHS ) is not equal to the sum of the numbers in the right hand side ( RHS ), it will be concluded that there is no solution in the equation.
3.) y - 7 = 2 - 11
Sum the RHS and make y the subject of formula
Y - 7 = -9
Y = -9 + 7
Y = -2
The solution of the equation is -2
Answer:
Total distance cover = 12t miles
Step-by-step explanation:
Given:
Priya's speed = 12 miles per hour
Total time taken = t hours
Find:
Total distance cover
Computation:
Distance = speed x time
Total distance cover = 12 x t
Total distance cover = 12t miles
