Answer:
try D
Step-by-step explanation:
Answer:
Hey there!
The given equation helps us understand the relationship between Amber's tips earned and the money she earned through her hourly wage. This information will add up to equal a grand total of $69.20.
We know that Amber earns $15.50 in tips during her 6 hour shift. Therefore, this is not considered part of her wage. This would be one of the constants of our equation.
We also know that Amber earns a fixed hourly wage, but we don't know what this wage is. We need to find w.
Subtract 15.5 from both sides of the equation (and get rid of the currency symbol).
Divide both sides of the equation by 6.
Therefore, Amber's hourly wage is $8.95.
add the numbers on both side by 3
4 + 3 = 7
8 + 3 = 11
rewrite the expression
7<11
that is still true
do the same by multiplying it by 2 and rewrite the inequality
Answer:
Step-by-step explanation:
Let's put in some numbers to make this easier to understand.
Let's say she has to travel 20 km.
On Monday, she travels at 4 kph. This takes 5 hours.
On Tuesday she travels 25% faster, at 5 kph. This takes 4 hours.
To figure percent reduction we take
100 % * (old - new) / old
100 % * (5 hr - 4 hr ) / 5 hr
100 % * 1 hr / 5 hr
100 % * 0.20
20% reduction.
Think of the equation of a linear function:
Recall y = mx + b for vertical shifts, we just add or subtract from 'b' and that will move the line up or down accordingly.. However, for horizontal shifts, we will need to add or subtract from 'x'. Note that the slope or 'm' stays the same for each type of shift.
Now that we know how the shifts occur, we might consider a different form of the equation for a linear function: y = a(x - h) + k here the 'a' is just our slope, 'k' is our original y intercept, and 'h' will represent the amount of horizontal shift.
So to get the desired transformations of a horizontal shift to the left of 8 and a vertical shift of down 3 from our original function y = x, we can make the following changes: y = (x + 8) - 3 Now you might be confused with how we got the 'x + 8'.. Let's consider values of 'h'. For positive values of h, the result will be a shift to the right and for negative values of h the result will be a shift to the left. So since we want a shift to the left we need to use a '-8' and when we substitute that into our new form, y = (x - h) + k you can see the sign change.
Now we can simplify of course and get the final equation: y = x + 5 or in function form f(x) = x + 5
