A large asteroid crashed into a moon of a planet, causing several boulders from the moon to be propelled into space toward the p
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Using linear function concepts, it is found that the maximum whole number of kilometres that can be travelled in one week with Carz if it is to cost less than it would with Renta is of 399.
<h3>What is a linear function?</h3>A linear function is modeled by:
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
For each car, Cart and Renta, the linear functions are given by:
C(k) = 90 + 0.15k
R(k) = 110 + 0.1k
Cart will cost less than Renta if:
C(k) < R(k)
Hence:
90 + 0.15k < 110 + 0.5k
0.05k < 20
k < 400
Hence, the maximum whole number of kilometres that can be travelled in one week with Carz if it is to cost less than it would with Renta is of 399.
More can be learned about linear function concepts at brainly.com/question/24808124
Answer:
cost of each video game = $5.50
cost of each movie = $4.25.
Step-by-step explanation:
Let m represent cost per movie
g represents cost per video game.
Create two equations to represent the total cost Tammy rented movie and video games in each month, and solve simultaneously for each variable:
First month:
=> equation 1
Second month:
=> equation 2
Multiply equation 1 by 4, and multiply equation 2 by 2 to derive:
4 ×
2 ×
=> equation 3
=> equation 4
Subtract equation 4 from equation 3
You'd have:
- 4g = - 22
Divide both sides by -4
g = 5.5
Thus, the cost of each video game = $5.50.
Substitute g = 5.5 in equation 1 and solve for m.
Subtract 16.5 from each side
Divide both sides by 2
Thus, cost of each movie = $4.25.