Find the equation of the linear function represented by the table below in slope-intercept form.
2 answers:
Answer:
y = 8x + 7
Step-by-step explanation:
the equation of a linear function in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m =
with (x₁, y₁ ) = (1,15) and (x₂, y₂ ) = (2, 23) ← 2 ordered pairs from the table
m = =
= 8
the ordered pair (0, 7 ) indicates c = 7
y = 8x + 7 ← equation of linear function
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Answer:
Yes
Step-by-step explanation:
First, look for the hypotenuse (diagonal) of the base of the box. We have the two legs: 13 inches and 35 inches.
Set up an equation using the Pythagorean theorem:
Solve for C:
169 + 1225 = C^2
1394 = C^2
C ≈ 37.34
Now that we have the diagonal of the base, we know can move on to find the value of the interior diagonal. We have two legs: 13 inches and 37.34 inches.
Again, set up an equation using the Pythagorean theorem, and solve for the new C:
1563.2756 = C^2
C = 39.54
The interior diagonal of the box is approximately 39.54 inches long, which is longer than Kylie's baton, which is 38 inches long. So, she can fit the baton in the box.
Have a nice day! :)