A makeup artist charges $40 to travel to a wedding, plus $20 per hour for the makeup she is doing at the wedding. The bride receives a bill for $100. How many hours did the makeup artist work at the wedding? First write an equation that models the situation using function notation.(1 point)
3 hours
4 hours
1 hour
2 hours How much Sally made on Monday is represented by the function
f(x)=3+11x
where x is the number of hours she worked that day. How much did Sally make on Monday if she worked for 8 hours?(1 point)
$88
$85
$91
$80
1) $100 - 40= $60 since they earned $100 Subtract that from $40
$60/$20= 3
2) 8*11+3= x
8*11= 88
88+3= 91
Hope this helps
For the first question, let's use the following variables:
T = Travel cost ($40)
H = Hours worked at the wedding ($20 per hour)
B = Total bill ($100)
The equation that models this situation using function notation is:
B = T + H * 20
Substituting the given values:
100 = 40 + H * 20
Simplifying the equation:
H * 20 = 100 - 40
H * 20 = 60
H = 60 / 20
H = 3
So, the makeup artist worked for 3 hours at the wedding.
For the second question, let's use the following variables:
f(x) = Sally's earnings
x = Hours worked
The given function is:
f(x) = 3 + 11x
Substituting x = 8:
f(8) = 3 + 11 * 8
f(8) = 3 + 88
f(8) = 91
So, Sally made $91 on Monday when she worked for 8 hours.
To solve the first problem, let's use function notation to represent the situation. Let "x" be the number of hours the makeup artist worked at the wedding. The makeup artist charges $40 for travel and $20 per hour for the makeup itself. Therefore, the total cost would be:
Total cost = $40 + $20 * x
According to the problem, the total cost is $100. So, we can set up the equation:
$100 = $40 + $20 * x
To solve for "x," we need to isolate it:
$20 * x = $100 - $40
$20 * x = $60
Now, divide by 20 on both sides of the equation to solve for "x":
x = $60 / $20
x = 3
Therefore, the makeup artist worked for 3 hours at the wedding.
40+20x = 100
solve for x
3+11*8 = ___