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<em>A line passes through the point (-1, -8) and has a slope of -6. Write an </em>
<em> equation for the line in slope-intercept form.</em>
<em />
<em />
First, let's write the equation of the line in Point-slope form:-
Replace y₁ with -8, m with -6, and x₁ with -1:-
On simplification,
Now let's convert it into slope-intercept form:-
<em> </em>On further simplification,
Finally, We get
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<u>Given</u>:
Juan has been saving for a new bike for two months. So far, he has saved $150 for the bike.
The money that he has saved so far is 30% of the cost of the bike.
We need to determine the total cost of the bike.
<u>Total cost of the bike:</u>
Let x denote the total cost of the bike.
The total cost of the bike is given by
The value of 30% can be written as
Thus, we get;
Multiplying both sides by , we have;
Simplifying, we have;
Thus, the value of x is 500.
Hence, the total cost of the bike is $500.
Answer:
- Set original amount = x
<u>After a 75% increase, it would become</u>
x + 75%x = x + 0.75x = x(1 + 0.75) = 1.75x
<u>After a 50% decrease, it would become</u>
1.75x - 50%(1.75x) = 1.75x - 0.5(1.75x) = 1.75x - 0.875x = 0.875x =
Because is less than x, the new amount would be less than the original.