K/4 - 5k + 1 = 1 please
1 answer:
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Part 1
Let:
y be the total cost
x be the number of tickets
a be fair admission
Since the fair charges $1.25 per ticket, the equation of the line would look like:
y = 1.25x + a
Since Johnny spent $43.75 and bought 25 tickets, we find a by replacing y with 43.75 and x with 25:
43.75 = 1.25×25 + a
Now solve for a
43.75 = 31.25 + a
43.75 - 31.25 = a
a = 12.50
Going back to the first equation:
y = 1.25x + 12.50
Part 2:
a) Let (9,8) be (x1,y1) and (4,-12) be (x2,y2)
The formula for slope is:
b) For the point-slope equation, I'll use (9,8)
Using the formula:
c) For the slope-intercept form, we solve for y in the point-slope formula:
Let:
y be the total cost
x be the number of tickets
a be fair admission
Since the fair charges $1.25 per ticket, the equation of the line would look like:
y = 1.25x + a
Since Johnny spent $43.75 and bought 25 tickets, we find a by replacing y with 43.75 and x with 25:
43.75 = 1.25×25 + a
Now solve for a
43.75 = 31.25 + a
43.75 - 31.25 = a
a = 12.50
Going back to the first equation:
y = 1.25x + 12.50
Part 2:
a) Let (9,8) be (x1,y1) and (4,-12) be (x2,y2)
The formula for slope is:
b) For the point-slope equation, I'll use (9,8)
Using the formula:
c) For the slope-intercept form, we solve for y in the point-slope formula:
The surface area (SA) of a cube can be written as:
SA = 6s²
From here we can write, the length of the side s as:
For cube with surface area of 1200 square inches, the side length will be:
inches
For cube with surface area 768 square inches, the side length will be:
inches
The difference in side lengths of two cubes will be:
Rounding to nearest tenth of an integer, the difference between the side lengths of two cubes will be 2.8 inches.
SA = 6s²
From here we can write, the length of the side s as:
For cube with surface area of 1200 square inches, the side length will be:
For cube with surface area 768 square inches, the side length will be:
The difference in side lengths of two cubes will be:
Rounding to nearest tenth of an integer, the difference between the side lengths of two cubes will be 2.8 inches.