Answer:
Equation: y = ⅐x
Rate of change: ⅐
Distance = 10 miles
Step-by-step explanation:
Given
The information in the above table
Solving (a): The equation
To get the equation, we need to first calculate the slope (m)
Take any two corresponding values of x and y
(x1,y1) = (7,1)
(x2,y2) = (21,3)
m = (y2 - y1)/(x2 - x1)
m = (3 - 1)/(21 - 7)
m = 2/14
m = ⅐
The equation is calculated using
y - y1 = m(x - x1)
Substitute values for m, x1 and y1
y - 1 = ⅐(x - 7)
y - 1 = ⅐x - 1
Add 1 to both sides
y = ⅐x
Solving (b) Rate of change:
The calculated slope in (a) above represents the rate of change.
So:
Rate of change = Slope = ⅐
Solving (c): Distance when time is 70 minutes
This implies that x = 70
Substitute 70 for x in y = ⅐x
y = ⅐ * 70
y = 10 miles
Answer:
<em>$120</em>
Step-by-step explanation:
40% of the earnings is spent on rent.
The earnings is an unknown, so we call it x.
The rent is $800, so 40% of x equals $800.
40% * x = 800
0.4x = 800
x = 800/0.4
x = 2000
She earns $2000 per month.
After paying rent, the remaining amount is
$2000 - $800 = $1200
She spends 10% of the remaining amount on entertainment.
10% of $1200 = 10% * $1200 = 0.1 * $1200 = $120
Answer:
A
Step-by-step explanation:
multiply $17.95 by 40% to get the discount ($17.95 x .4), which equals $7.18.
the sale price is the initial price of the book less the discount ($17.95-$7.18), which equals $10.77.
Answer:
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3/4÷1/8 is the same as 3/4×8/1.
3×8=24
4×1=4
That becomes 24/4 which simplifies to 6. Your answer is 6.
