Answer:
the slope should be 2
Step-by-step explanation:
Answer
To complete the table, you need to substitute the values of the inputs (n) given into the output (n+5) given.
Speed = Distance/Time
So, speed
= 300 km/2h
= 150km/h
= (150 × 1000m) / 3600s
= 150000m/3600s
= 41.66m/s [approximately]
Slope intercept form is y = mx + b
Pick one of the coordinates, I’ll use (-3,-4) as the example.
Coordinates are just numbers plugged in for (x,y).
This means -3 would be your x and -4 would be your y.
So plug these numbers into the equation and you get -4 = m(-3) + b.
M is slope and to find slope, you need to do (y2-y1) / (x2-x1).
In other words, it would be (-3 - -4) / (4 - -3) = 1/7 which is your slope (m).
Now plug that in for m to get the b variable.
-4 = 1/7(-3) + b.
B = -3.57
Your answer is y = 1/7x -3.57
Answer:
Equation 1 = Equation 2
165 - 4x = 145 - 3.50x
Step-by-step explanation:
Let x represent the number of 30-day periods.
Tavon has a gift card for $165 that loses $4 for each 30-day period it is not used.
Therefore the equation =
$165 -$4 × x
= 165 - 4x.......... Equation 1
He has another gift card for $145 that loses $3.50 for each 30-day period it is not used.
$145 -$3.50 × x
= 145 - 3.50x........... Equation 2
Hence, an equation for the number of 30-day periods until the value of the gift cards will be equal is obtained by equating Equation 1 and Equation 2 together
So, we have
Equation 1 = Equation 2
165 - 4x = 145 - 3.50x
We simplify further:
165 - 145 = -3.50 + 4.0x
20 = 0.5x
x = 20/0.5
x = 40
Therefore, number of each 30-day periods until the value of the gift cards will be equal is 40