Answer:
Hannah is deciding between two truck rental companies. Company A charges an initial fee of $30 for the rental plus $2 per mile driven. Company B charges an initial fee of $100 for the rental plus $1 per mile driven. Let AA represent the amount Company A would charge if Hannah drives xx miles, and let BB represent the amount Company B would charge if Hannah drives xx miles. Write an equation for each situation, in terms of x,x, and determine the interval of miles driven, x,x, for which Company A is cheaper than Company B.
Answer:
A proportional relationship is one in which two quantities vary directly with each other. We say the variable y varies directly as x if: y = k x. for some constant k , called the constant of proportionality .
Step-by-step explanation:
Answer:
5(x^2−8
Step-by-step explanation:
There you go
First of all, remember what the equation of a line is:
Where:
m=slope
b=y-intercept.
Given this information, we can start by plugging in what we know, we are given the slope which is 2 so we can fill that in, remember m=slope
To find b, think about what your (x,y) point means:<span>(14,3). When x of the line is 14, y of the line must be 3.
Because we were given the point (14,3)
</span>
We need to find the value of b. The 2 is already set and x and y are variables. We want the equation for the line that specifically passes through the given point (14,3).
<span>Plug in for x the number 14 and for y the number 3:
</span>(14,3).
y=mx+b or 3=2 × 14+b,
solving for b: b=3-(2)(14). b=-25.
<span>Plug that in for b:
</span><span>y=2x-25
<span>Final answer:
</span><span>y=2x-25</span></span><span><span>
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