Deshaun is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices.

Company A has no initial fee but charges .70 cents for every mile driven.
Company B charges an initial fee of $50 and an additional .20 cents for every mile driven.
For what mileages will Company A charge more than Company B?
Use m for the number of miles driven, and solve your inequality for m .

Pablo is choosing between two exercise routines.

In Routine #1, he burns 20 calories walking. He then runs at a rate that burns 18.5 calories per minute.
In Routine #2, he burns 36 calories walking. He then runs at a rate that burns 15.3 calories per minute.

Well, it seems like Deshaun is all set to hit the road! Now, let's calculate the mileage at which Company A will charge more than Company B.

For Company A, the cost is calculated by multiplying the number of miles driven (m) by 0.70 cents.

For Company B, the cost is calculated by adding an initial fee of $50 to the cost of mileage, which is 0.20 cents times the number of miles driven (m).

To find the mileage at which Company A will charge more than Company B, we need to set up the inequality:

0.70m > 50 + 0.20m

Let's simplify this inequality:

0.70m - 0.20m > 50

0.50m > 50

Now, we can solve for m by dividing both sides of the inequality by 0.50:

m > 50 / 0.50

m > 100

So, Company A will charge more than Company B for any mileage greater than 100 miles. Happy renting, Deshaun!

To compare the prices of the two companies, we need to set up an inequality based on the mileages at which Company A charges more than Company B.

Let's assume m represents the number of miles driven.

For Company A, the cost is given by .70m since they charge 0.70 cents for every mile driven, with no initial fee.

For Company B, the cost is given by 50 + 0.20m since they charge an initial fee of $50, plus an additional 0.20 cents for every mile driven.

To find the mileage at which Company A charges more than Company B, we can set up the following inequality:

.70m > 50 + 0.20m

Simplifying the inequality, we can combine like terms:

0.70m - 0.20m > 50

0.50m > 50

Dividing both sides of the inequality by 0.50:

m > 100

Therefore, for mileage greater than 100 miles, Company A will charge more than Company B.

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A phone company offers two monthly charge plans. In Plan A, the customer pays a monthly fee of $8.40 and then an additional 6 cents per minute of use. In Plan B, there is no monthly fee, but the customer pays 9 cents per minute of use.

A: 0 + .70m

B: 50 + .20m

A>B
.70m > 50 + .20m
m > 100