Suzette ran and biked for a total of 34 miles in 3.5 hours. Her average running speed was 6 mph and her
average biking speed was 12.5 mph. Create a system of equations and use substitution to solve. (In your
answer, be sure to define your variables, show your steps, provide your answer in a complete sentence, and
check your solution.)
(a) How many hours did Suzette run?
(b) How many hours did she bike?

She ran for 1.5 hours and biked for 2 hours

Step by Step Solution:

Equation system:

6x + 12.5y = 34

x + y = 3.5

For the substitution part we can insert 'x' into the equation

To do this, we need to set the bottom equation to equal x

simply subtract y from both sides, once you do, it should look like this...

x = 3.5 - y

Now insert x into the top equation...

6(3.5 - y) + 12.5y = 34

Then distribute...

21 - 6y + 12.5y = 34

Simplify...

6.5y = 13

divide...

y = 2

Now you need to substitute y for the bottom equation...

x + 2 = 3.5

x = 1.5

So y = 2 and x = 1.5!

Thank me later :)

(or just give brainliest please)

The answer is "she ran for 1.5 hours and biked for 2 hours"

Step-by-step explanation:

this is just an immediate answer when you need it. no need for a good rating or anything.

x + 4/7

step-by-step explanation:

use cymath

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.