The dimensions of a smaller rectangle are 3 ft by 9 ft. the dimensions of a larger rectangle are 5 ft by 15 ft. find the ratio of the area of the smaller rectangle to the area of the larger rectangle.

The ratio of the area of the smaller rectangle to the area of the larger rectangle is 9:25.

Step-by-step explanation:

The area of rectangle is

It is given that the dimensions of a smaller rectangle are 3 ft by 9 ft. So, the area of smaller rectangle is

The area of smaller rectangle is 27 ft².

It is given that the dimensions of a larger rectangle are 5 ft by 15 ft. So, the area of larger rectangle is

The area of smaller rectangle is 75 ft².

The ratio of the area of the smaller rectangle to the area of the larger rectangle is

Therefore the ratio of the area of the smaller rectangle to the area of the larger rectangle is 9:25.

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.