Answer:
<h2>3 weeks</h2>
Step-by-step explanation:
Step one:
given data
expected amount =$200
cash already at hand=$80
savings per week=$40
let the number of weeks be x
Step two:
the linear function for the situation is the same as the equation of a straight line
y=mx+c------1
200=4x+80
solve for x
200-80=40x
120=40x
divide both sides by 4
x=120/40
x= 3 weeks
<u>Chandler will save for 3 weeks</u>
To answer this question, we need to know that as x tends to infinity
the exponential values greatly increase with each passing x.
So the exponential values will always be greater than the linear values, as x increases.
Lets see that with an example
Suppose we have
y1 = 2*x
y2 = 2^x
If we evaluate at x = 5, we can see the difference between the two
y1 = 2*(5) = 10
y2 = 2^(5) = 32
If x = 10, the difference becomes even clearer
y1 = 2*(10) = 20
y2 = 2^(10) = 1024
To order the exponential graphs, we need to place ourselves at an specific value of x and check which graphs has the highest corresponding value of y
So the answer to your question, which is to place in descending order according to the value of y:
*green
*orange
*blue
*red
*yellow
*black
She gets paid $12 per hour.
Let x be the amount she gets paid per hour. Working 40 hours would then be represented by 40x.
Anything over 40 hours earns her 1.5 her normal rate, or 1.5x. Since she works 52 hours, this means 52-40=12 hours of overtime at 1.5x:
12(1.5x) = 18x
Together, she earned 696:
40x+18x = 696
Combining like terms,
58x = 696
Divide both sides by 58:
58x/58 = 696/58
x = 12