Question

A company rents riding equipment for a fixed amount plus a fee based on the number of days for which the equipment is rented. The table shows the total charges, y, in dollars, of renting riding equipment for x number of days:

Riding Equipment Rentals

Number of days
(x) Total Charges in dollars
(y)
0 6
1 16
2 26


What is the fixed amount charged?

Answer 1

can someone help

Answer 2

the fixed amount is the value of y when x = 0

Answer 3

so would the answer be 6

Answer 4

yes

Answer 5

can you help me with another one

Answer 6

sure

Answer 7

ok thanks

Answer 8

Barney wants to rent a tent. He has to pay a fixed base cost plus a daily rate for renting the tent. The table shows the amount of money, y, in dollars, that Barney has to pay for renting the tent for x days:

Tent Rental

Number of days
(x) Rent (dollars)
(y)
0 3
1 8
2 13
3 18
4 23


Which equation best shows the relationship between x and y?
y = 5x + 3
y = x + 8
y = 5x + 8
y = x + 3

Answer 9

your equation will be in the form y = mx + b

let's find m first. when x increases by 1, what value does y increase by?

Answer 10

i don't know what m would be

Answer 11

do you see the pattern in the y values in the table?

Answer 12

i can find the pattern

Answer 13

every y value increases by a certain number each time, what is that number?

Answer 14

it goes up by 5

Answer 15

great, so that means our m value (slope) is 5

so right now we have y = 5x + b, now let's find b

b is the y value when x = 0, so what is b?

Answer 16

would it be 1/5

Answer 17

m = 5, since y increases by 5 every time x increases by 1

right now, we have y = 5x + b, now we need to find b

b is the y value when x = 0, so what is b?

Answer 18

i don't know what be would be

Answer 19

what is the value of y when x = 0?

Answer 20

3

Answer 21

ohh yea i forgot that b was the y intersect my bad

Answer 22

right, so b = 3

putting everything together:

y = mx + b = 5x + 3

and that's our answer

Answer 23

ok thank you sooooooooo much