Sara read 12 books in 4 weeks. What is the unit rate for books per week? How many weeks would it take her to read 48 books?
1 answer:
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Answer: The below figure shows the graph of the given situation.
Step-by-step explanation:
Since, at first Caroline has brownies= 48
And, according to the question, it is decreasing by 6 per hour.
Then, the function of the given situation can be written as,
f(x)=48 - 6 x, ------ (1)
where, x is the number of hours and f(x) is the number of brownies Caroline has left in x hour.
Thus by substitution x= 0,1,2,3,4,5,6,7,8 in equation (1),
We get, f(x)=48, 42, 36, 30, 24, 18, 12, 6, 0
So, the function has points, (0, 48), (1, 42), (2, 36), (3, 30), (4, 24), (5,18 ),(6,12 ) (7, 6) (8, 0).
With help of the above points we can draw the graph of the given situation.
Note: since at x=8, f(x)=0 therefore after 8 hours she has no brownies left.
James'age : 12, Kate's age : 7
<h3>Further Explanation </h3>One variable linear equation is an equation that has a variable and the exponent number is one. Can be stated in the form:
ax + b = c, where a, b, and c are constants, x is a variable
Whereas the two-variable linear equation is a linear equation that has 2 variables and the exponent is one
Can be stated in the form:
x, y = variable
In the statement of the task:
- James is two years younger than twice his sister Kate’s Age can be stated in the equation: James (J) = 2K (Kate) - 2 ⇒equation 1
- Together their ages add up to 19. The equation: J + K = 19 .... 2 ---> J = 19 - K ⇒equation 2
So the solution is:
Equation 2 is entered into equation 1 so that it becomes:
19-K = 2K-2
21 = 3K
K = 7
because J + K = 19, then the value of J = 19-7 = 12
<h3>Learn more</h3>the slope-intercept form of the linear equation
a graph of a linear equation
system of linear equations
Keywords : Age, variable, linear equation
