To solve this problem, we have to figure out a rule for the function. We are told that it is a two-step rule, so it is most likely the input multiplied by a coefficient plus a constant. Let’s let the input be represented by the variable x and the output be represented by the variable y. Using our knowledge, we can see that the outputs are close to triple the input, so we set up the preliminary equation:
y = 3x + b,
where b is a constant. If we want to solve for b, we must plug in one of our input/output pairs. If we plug in (5,16), we get the following:
16 = 3(5) + b
16 = 15 + b
1 = b
Then, we should substitute in this value into our equation and check our work.
y = 3x + 1
If we plug in the other points, this equation yields a true statement, so we know it is correct.
Hope this helps!
The budget of Van for groceries for 1 week is:
12 $ (per a weekday) * 5 (weekdays) + 15 $(per a weekend day) *2 (weekend days) = 60$ +30$ = 90$
The budget of Van for w weeks is:
90 $ (per week) * w (weeks) = 90w dollars.
Answer: 90w $
12.54 when you separate the shapes into individual shapes in this case two rectangles you find the are of the two shapes and add them to each other
Answer:
Area of the triangle = 210 cm^2 .
Step-by-step explanation:
Perimeter of triangle = 4x + 1 + 3x - 1 + 3x = 70
10x = 70 - 1 + 1 = 70
x = 7.
Area A = 1/2 * base * height
= 1/2 * 3x * (3x - 1)
= 1/2 * 3(7) * (3(7) -1)
= 1/2 * 21 * 20
= 210.
