Please help! Which of the following is an example of an open equation? 5x+7=12 12+(-8)=4 25=5(5) 8+0=8
2 answers:
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Answer:
Part a)
Part b) The total cost is
Part c) see the explanation
Step-by-step explanation:
Part a) Write a linear equation to represent this situation
Define the variables
Let
x ----> the number of hours
y ----> the total cost in dollars
we know that
The linear equation in slope intercept form is equal to
where
m is the slope or the unit rate
b is the y-intercept or initial value (value of y when the value of x is equal to zero)
In this problem we have that
The unit rate or slope is equal to
The y-intercept or initial value is equal to
substitute
Part b) Use the equation to find the total cost to rent skis from 8:30 am to 3:00 pm
Remember that
3:00 pm=15:00
so
from 8:30 am to 3:00 pm, the total hours is equal to
15:00 -8:30=6:30=6.5 h
For x=6.5 h
substitute in the linear equation and solve for y
Part c) What does your answer mean in context of the problem?
we have that
y=220.25
That means -----> The total cost to rent skis for 6.5 hours is equal to $220.25
Question:
The temperatures at several times of the day are shown in the coordinate plane below. The x-axis represents the number of hours before or afternoon. For example, -1 would represent 11 a.m. The y-axis represents the temperature in degrees Celsius.At 5 p.m, the temperature is halfway between the temperature at 2 p.m. and the temperature at 8 p.m.
What coordinates represent the temperature at 5 p.m.?
Answer:
(5, 2)
=> At 5pm, the temperature is at 2⁰C
Step-by-step Explanation:
Coordinates of any point on a cartesian/coordinate plane is represented by (x, y). Where x is the number at the point on z-axis, while y is the number at the same point on the y-axis.
From the diagram of the coordinate plane attached below, we can simply find out what coordinates represent the temperature at 5pm.
==> Given that the temperature at 5pm is half way between the temperature at 2pm (y=7) and temperature at 8pm (y=-3), the point that is being referred to = [7+(-3)] ÷ 2 = ⁴/2 = 2 (i.e. 2 on the y axis representing temperature)
*The position of the point is indicated in the second picture that is attached below.
At that position of the point, we have 2 as the coordinate for the y axis representing temperature, and at that same position, we have 5 on the x-axis representing the number of hours.
Therefore, coordinates of the point (x, y) representing 5p.m = (5, 2)
==> At 5pm, the temperature is at 2⁰C
