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Mathematics

2 answers:

Anastasy [175]3 years ago

6 0

Answer:

The total charge of Richard’s Rental Car be no more than the total charge of Freddy’s Rental Car for x miles.

Step-by-step explanation:

Richard’s Rental Car rental fee = $55

Cost for 1 mile = $0.25

Cost for x miles = 0.25 x

So, total charge for Richard's rental car = 55+0.25x

Freddy’s Rental Car rental fee = $45

Cost for 1 mile = $0.35

Cost for x miles = 0.35 x

So, total charge for Richard's rental car = 45+0.35x

We are supposed to find . For how many miles, x, will the total charge of Richard’s Rental Car be no more than the total charge of Freddy’s Rental Car

So, option C.

Kamila [148]3 years ago

4 0

Answer:

$1.75 is the amount where it would be the same

Step-by-step explanation:

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A car that travels along the highway to Denver at a steady speed. When it begins, it is 300 miles from Denver. After 3 hours, it

umka21 [38]

Answer: $y=-40x+300$

Step-by-step explanation:

This car follows a line, hence its motion can be modeled by the Line equation.

In fact, we already have two points of the line, if we call $x$ the time in hours and $y$ the traveled distance in miles:

Point 1: $(x_{1},y_{1})=(0,300)$

Since we are told the car's initial position is 300 miles in the time 0 h

Point 2: $(x_{2},y_{2})=(3,180)$

Since we are told the car's final position is 180 miles after 3h

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<u>Let's find the Slope $m$ : </u>

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m=-40$ This is the slope of the line

Now, the equation of the line is:

$y=mx+b$

We already know the slope, now we have to find the intersection point with the y-axis ( $b$ ) with any of the given points. Let's choose Point 1: $(x_{1},y_{1})=(0,300)$