The initial payment per month being 30 and each movie being 2.50 means that if the total payment is 45 then you pay for 6 movies per month, 30x+6(2.5x)
It's be a line that crosses the y-axis at (0,7) and has a slope of -3 or -3/1.
She works for 40 hours, and then 5 hours.
So, for these first 40 hours, Tyra earns $21.40 per hour. We can find how much she earns in 40 hours:
21.40 x 40 = 856.
So, in the first 40 hours, she makes $856.
Now, for any number of hours Tayra works more that 40 hours, she will earn $32.10 each hour.
She works 5 hours over 40 hours, since it is 45 hours in total.
Hence, Tayra will earn $32.10 every hour for the 5 hours:
5 x 32.10 = 160.5.
Therefore, she will earn $160.50 for the 5 hours.
Now we have both of the earning amounts that make up how much she makes in the 45 hours. We can add them together
40 hours + 5 hours = 45 hours.
Substitute the amounts in the hours.
856 + 160.5 = 1016.5.
Thus, the answer is that Tyra will warn $1,016.50 in the total 45 hours.
Ergo, the correct answer is C.
Hope this helps, let me know if you need anything else! :)
Answer:
Step-by-step explanation:
1). Step 4:
![x=\sqrt[3]{5^4}](https://tex.z-dn.net/?f=x%3D%5Csqrt%5B3%5D%7B5%5E4%7D)
[Since, ![a^{\frac{1}{3}}=\sqrt[3]{a}](https://tex.z-dn.net/?f=a%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%3D%5Csqrt%5B3%5D%7Ba%7D)
]
![x=\sqrt[3]{5\times 5\times 5\times 5}](https://tex.z-dn.net/?f=x%3D%5Csqrt%5B3%5D%7B5%5Ctimes%205%5Ctimes%205%5Ctimes%205%7D)
Step 5:
![x=\sqrt[3]{(5)^3\times 5}](https://tex.z-dn.net/?f=x%3D%5Csqrt%5B3%5D%7B%285%29%5E3%5Ctimes%205%7D)
![x=\sqrt[3]{5^3}\times \sqrt[3]{5}](https://tex.z-dn.net/?f=x%3D%5Csqrt%5B3%5D%7B5%5E3%7D%5Ctimes%20%5Csqrt%5B3%5D%7B5%7D)
2). He simplified the expression by removing exponents from the given expression.
3). Let the radical equation is,
Step 1:
Step 2:
Step 3:
Step 4:
4). By substituting in the original equation.
There is no extraneous solution.
Yes it is correct. You plotted the slope and initial rate value correctly and found the
point of intersection.
